{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Lesson 14.6 - Plotting with Seaborn: Visualizing linear relationships\n",
    "\n",
    "*Facsimile of [Seaborn tutorial](http://stanford.edu/~mwaskom/software/seaborn/tutorial.html).*\n",
    "\n",
    "**Note: This notebook is optional and is not covered in class.**\n",
    "\n",
    "Many datasets contain multiple quantitative variables, and the goal of an analysis is often to relate those variables to each other. We previously discussed distribution_tutorial functions that can accomplish this by showing the joint distribution of two variables. It can be very helpful, though, to use statistical models to estimate a simple relationship between two noisy sets of observations. The functions discussed in this chapter will do so through the common framework of linear regression.\n",
    "\n",
    "In the spirit of Tukey, the regression plots in seaborn are primarily intended to add a visual guide that helps to emphasize patterns in a dataset during exploratory data analyses. That is to say that seaborn is not itself a package for statistical analysis. To obtain quantitative measures related to the fit of regression models, you should use [`statsmodels`](http://statsmodels.sourceforge.net). The goal of seaborn, however, is to make exploring a dataset through visualization quick and easy, as doing so is just as (if not more) important than exploring a dataset through tables of statistics."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import seaborn as sns\n",
    "sns.set(color_codes=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(sum(map(ord, \"regression\")))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "tips = sns.load_dataset(\"tips\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>total_bill</th>\n",
       "      <th>tip</th>\n",
       "      <th>sex</th>\n",
       "      <th>smoker</th>\n",
       "      <th>day</th>\n",
       "      <th>time</th>\n",
       "      <th>size</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>16.99</td>\n",
       "      <td>1.01</td>\n",
       "      <td>Female</td>\n",
       "      <td>No</td>\n",
       "      <td>Sun</td>\n",
       "      <td>Dinner</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>10.34</td>\n",
       "      <td>1.66</td>\n",
       "      <td>Male</td>\n",
       "      <td>No</td>\n",
       "      <td>Sun</td>\n",
       "      <td>Dinner</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>21.01</td>\n",
       "      <td>3.50</td>\n",
       "      <td>Male</td>\n",
       "      <td>No</td>\n",
       "      <td>Sun</td>\n",
       "      <td>Dinner</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>23.68</td>\n",
       "      <td>3.31</td>\n",
       "      <td>Male</td>\n",
       "      <td>No</td>\n",
       "      <td>Sun</td>\n",
       "      <td>Dinner</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>24.59</td>\n",
       "      <td>3.61</td>\n",
       "      <td>Female</td>\n",
       "      <td>No</td>\n",
       "      <td>Sun</td>\n",
       "      <td>Dinner</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   total_bill   tip     sex smoker  day    time  size\n",
       "0       16.99  1.01  Female     No  Sun  Dinner     2\n",
       "1       10.34  1.66    Male     No  Sun  Dinner     3\n",
       "2       21.01  3.50    Male     No  Sun  Dinner     3\n",
       "3       23.68  3.31    Male     No  Sun  Dinner     2\n",
       "4       24.59  3.61  Female     No  Sun  Dinner     4"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tips.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Functions to draw linear regression models\n",
    "------------------------------------------\n",
    "\n",
    "Two main functions in seaborn are used to visualize a linear relationship as determined through regression. These functions, `regplot` and `lmplot` are closely related, and share much of their core functionality. It is important to understand the ways they differ, however, so that you can quickly choose the correct tool for particular job.\n",
    "\n",
    "* `sns.regplot()` -- plot data and a linear regression model fit\n",
    "* `sns.lmplot()` -- plot data and regression model fits across a `FacetGrid`\n",
    "\n",
    "The [`FacetGrid`](https://seaborn.pydata.org/generated/seaborn.FacetGrid.html) is an object that links a Pandas DataFrame to a matplotlib figure with a particular structure.\n",
    "\n",
    "In particular, `FacetGrid` is used to draw plots with multiple Axes where each Axes shows the same relationship conditioned on different levels of some variable. It’s possible to condition on up to three variables by assigning variables to the rows and columns of the grid and using different colors for the plot elements.\n",
    "\n",
    "In the simplest invocation, both `regplot` and `lmplot` functions draw a scatterplot of two variables, ``x`` and ``y``, and then fit the regression model ``y ~ x`` and plot the resulting regression line and a 95% confidence interval for that regression:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/luke.thompson/miniconda3/envs/python3/lib/python3.7/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
      "  return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1a2237c898>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.regplot(x=\"total_bill\", y=\"tip\", data=tips)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x1a226d9c88>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lmplot(x=\"total_bill\", y=\"tip\", data=tips)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You should note that the resulting plots are identical, except that the figure shapes are different. We will explain why this is shortly. For now, the other main difference to know about is that `regplot` accepts the ``x`` and ``y`` variables in a variety of formats including simple numpy arrays, pandas ``Series`` objects, or as references to variables in a pandas ``DataFrame`` object passed to ``data``. In contrast, `lmplot` has ``data`` as a required parameter and the ``x`` and ``y`` variables must be specified as strings. This data format is called \"long-form\" or `\"tidy\" <http://vita.had.co.nz/papers/tidy-data.pdf>`_ data. Other than this input flexibility, `regplot` possesses a subset of `lmplot`'s features, so we will demonstrate them using the latter.\n",
    "\n",
    "It's possible to fit a linear regression when one of the variables takes discrete values, however, the simple scatterplot produced by this kind of dataset is often not optimal:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x1a227d6400>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lmplot(x=\"size\", y=\"tip\", data=tips)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "One option is to add some random noise (\"jitter\") to the discrete values to make the distribution of those values more clear. Note that jitter is applied only to the scatterplot data and does not influence the regression line fit itself:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x1a22936208>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lmplot(x=\"size\", y=\"tip\", data=tips, x_jitter=.05)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A second option is to collapse over the observations in each discrete bin to plot an estimate of central tendency along with a confidence interval:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x1a22a87fd0>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lmplot(x=\"size\", y=\"tip\", data=tips, x_estimator=np.mean)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Fitting different kinds of models\n",
    "---------------------------------\n",
    "\n",
    "The simple linear regression model used above is very simple to fit, however, it is not appropriate for some kinds of datasets. The `Anscombe's quartet <https://en.wikipedia.org/wiki/Anscombe%27s_quartet>`_ dataset shows a few examples where simple linear regression provides an identical estimate of a relationship where simple visual inspection clearly shows differences. For example, in the first case, the linear regression is a good model:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "anscombe = sns.load_dataset(\"anscombe\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x1a22a874a8>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lmplot(x=\"x\", y=\"y\", data=anscombe.query(\"dataset == 'I'\"),\n",
    "           ci=None, scatter_kws={\"s\": 80})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The linear relationship in the second dataset is the same, but the plot clearly shows that this is not a good model:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x1a22b65cc0>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lmplot(x=\"x\", y=\"y\", data=anscombe.query(\"dataset == 'II'\"),\n",
    "           ci=None, scatter_kws={\"s\": 80})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the presence of these kind of higher-order relationships, `lmplot` and `regplot` can fit a polynomial regression model to explore simple kinds of nonlinear trends in the dataset:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x1a22d6d358>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lmplot(x=\"x\", y=\"y\", data=anscombe.query(\"dataset == 'II'\"),\n",
    "           order=2, ci=None, scatter_kws={\"s\": 80})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A different problem is posed by \"outlier\" observations that deviate for some reason other than the main relationship under study:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x1a22d73c88>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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B0F2Pz2ew/ot8Fn+0n4oqDwB33dKOn03OoG2rWIura7iqGg/7Dp9lX0EZCXFR9O3Rlpgo82LQ9MDNzMxk0qRJzJw5k1atWpGZmcmePXvqfHxpqQufr+4BfbXk5ARKSi42+PhgE07rCae1QOiu59S5ChZn53Lw+HkAEuIc/HRSBr1TEzDcnpBck2EYbN1XzLodhXh9BjZsGBhE2G2MGZjO4L71n5nWkB+mpgeuy+Vi9OjRzJkzB4D//d//pVOnTmaXISJX8Xh9rN9ZyOqt+Xi8PgDuva0900b0pGt6m5AM2su27itm7bZ8oqIiiHJE4Ii04/b48Hh9rN2WD8B9/ToGvA7T31osKiriZz/7GR6Ph4sXL7Jy5UqysrLMLkNEviP/VDm/W7KL9zYfxeP1kZQYw6+mZjB3/C0h3y1W7faybkchUVER33uaIjLCTlRUBOt2FNYOrwwk069wnU4no0eP5gc/+AFer5fZs2fTv39/s8sQEfxhtHrrMdbvLPQ3MAAjB3Tiofu7mnpvM5ByC8rw+gyirjNRIjLCTpXHQ15hGf26tw1oLZb8jT755JM8+eSTVpxaRL51IP8cS9blceZ8JQCpbVswe6yT7h1bWlxZ03JVum/6vo/XZ9Tu2RtI4fEjTETq7FKVm+U5h9mytxiACLuN8fd2YVxm57BsYIiPdWC33/gNsQi7jYS4wN86UeCKNCO7cs/w5saDXLhUA0D3jonMznKSmtz4xy2DlbNzayLsNjxe3zV/oHi8Pux2G73TAz8x+KY/zp566im2b98e8EJEJHDKLlbzyqp9vPrB11y4VEO0I4IZI3vyzA/7h3XYAkQ7IhgzMJ2aGm/t0xeXebw+amq8jBmYbsrU4Jte4Y4aNYpXX32Vf//3f2fq1KlMnjyZVq1aBbwwEWk8wzD4bM9Jlm86QmW1v4Ghb7ckHnugN0ktYyyuzjyD+3YAYN2OQqo8HqpqbGAY2O02xg/qUvv1QLMZdWzzOnLkCO+99x4bNmzgjjvuYObMmfTr1y/Q9X2PGh+uFE7rCae1gPXrOV1WwZLsXHIL/Q0M8bEOpo/syT23tGvQQ/7h8L2pdnvJKyzDFhmB4fHSO711g69sA9b44PP5KCgoID8/H6/XS1JSEr/97W8ZOnQoP//5z+t9UhEJHK/Px4adx/lg6zHcHv+v0Pfc2o5pI3qSGBdlcXXWinZE0K97W8t+gNw0cBcuXMiqVavo1KkTM2bM4E9/+hMOh4OKigqGDRumwBUJIgWnLrI4O5eC0/4waZMYzWMPOOnXPcniygTqELjnzp3jL3/5C06n84rPx8XF8cc//jFghYlI3dW4vazedoz1O47jMwxswPD+aUy6vxux0XoYKVjc9Dvxu9/97rpfGzx4cJMWIyL1l1dYxuLsXE6X+RsYOiTFMWdsH3qkhlcDQzjQjz6REFVR5Wb5piN8tuck4H94f1xmZ8ZldsERGX4NDOFAgSsSgr46WMKyDXmcd/kbGLp928CQFubP1IY6Ba5ICLngqubNjQfZlVcCQJTDzuT7uzOif9pN21fFegpckRBgGAZb9xbzbs5hKr5tYLi1axtmPdA7pCcwNDcKXJEgd+Z8JUuyczlQUAZAi5hIpo3oyb23ta93A4NYS4ErEqS8Ph8bvyzigy1Hqfm2geHuPinMGNmLxBbNu4EhVClwRYLQ8TMuFn18gPxT/gaG1gnRzBzdm9t7BnaDbAksBa5IEHF7vKzZll877BBg2B2pPDy0uxoYwoC+gyJB4uDx8yzOzuXUuQoA2rWJY06Wk16drNudr9rtJbegDHtBGT63F2fnhm/2IgpcEctVVntY+dcjbNp9AvA3MGTdk86Ee7vgiLQm3AIxVlwUuCKW+vvhsyxdn0fZxWoAurRPYHaWk/R29d/6rykFy1jxcKPAFbFA+aUa3vrkIDsPnAEgKtLOQ/d3Y+SANCLs1rbl3mysOFH+jbzv7tNOtxfqSYErYiLDMNj+9Sne+fQQl6r8DQy3dGnNY2OcpARJA0MwjRUPNwpcEZOcPV/JkvV5fHPsHABx0ZE8MqJH0N0PDaax4uFGgSsSYD6fwSd/K2LVZ0eocfsbGAY4U3h0ZE9axkdbXN33BdNY8XBjSeCuXr2a1157DYD777+fp59+2ooyRAKuqMTF4uxcjp4sB6BlfBQzR/fmzl7JFld2fcE0VjzcmB64lZWVLFiwgHXr1pGYmMj06dPZvn079957r9mliASM2+Nj2boDrPz0UG0Dw5DbOzJlaHfiYoL7yvDyWPG12/IhiitC9/JY8fGDuugNswYwPXC9Xi8+n4/Kykri4uLweDxERwffr1UiDXW46AKLsg9QXOpvYEhpHcucLGdIXREGy1jxcFPnMelNaenSpbz88svExsZy11138T//8z9B9aaBSENUVLlZ+vEBPtp+DMMAu93GQ0O6M/0BZ8heDVbVePj6SCnll6pJbBHNbd2TiInSWz8NZXrg5ubm8pvf/IbXX3+dhIQEfv3rX9OvXz/mzp1bp+NLS103fQf1Rqwajxwo4bSeUF7L3iNneWN9HufK/Q0M6e3i+dWM/iRGh2bQXi2UvzfX0hTrSU6uf3OK6U9Yb926lczMTJKSkoiKimLSpEns3LnT7DJEmkR5RQ2vrfmG/16xl3Pl1Tgi7UwZ2p1/mzWA7mmB3QOh2u1lz+GzbNtXzJ7DZ6l2ewN6Pmk80383cDqdvPzyy1RUVBAbG0tOTg59+/Y1uwyRRjEMgy++Oc3bnx7CVel/HtWZ3opZY5y0axMX8HN/d58Dn89/b1X7HAQ/0wN38ODB7N+/n0mTJuFwOOjbty+PP/642WWINNjZC5UsXX+QfUdLAYiNjmTqsO7cn9HRlKC7ep+Dy7TPQfCz5O73448/rpCVkOPzGeR8VcR7m4/W/vp+Z69kHh3Vi9YJ5jxpo30OQpvebhSpgxNnL7E4+wBHTnzbwNAiikdH9WKAM8XUOrTPQWhT4IrcgMfr46PPC1i7Pb+2geG+fh2YOrwHLSxoYNA+B6FNgStyHUdOXGBxdi4nzl4CILlVDLPHOOnTpY1lNWmfg9CmwBW5SlWNh1WfHeXTXUUYgM0GD9ydzsTBXS2/L6p9DkKbAlfkO74+WsqSdXmUllcBkJYcz5yxTrp2SLS4Mj/tcxDaFLgi+O+Nvv3JIT7/5hTgD7KJg7vwwN3p17yStNLV+xx4ff5ZY9rnIPgpcKVZMwyDnQfO8NYnB2vfaOrVqRWzs5y0D3ADQ0PZbDbu69eRu/u0I6+wjIsVbhLiHPRO10TdYKfAlWbrXHkVS9fnsefI5QaGCKYM7cH9t3fE3ogGBrNGi0c7IvToV4hR4Eqz4zMM/rr7BCv/eoSqGn8Dw+092jLzgd6NamDQaHG5GQWuNCvFpZdYnJ3LoaILACTGOXh0dG8G9E5udBhqtLjcjAJXmgWP10f2jkI+3HYMj9ffODCob3seGd6T+NjGP7OqllupCwWuhL1jxeUs+jiXohIXAG1bxjBrjJNbuzZdA4NabqUuFLgStqprvLy/5Sgbdx3HMPwNDKMGdOKh+7oRHdW0V5lquZW6UOBKWPom/xxLsnM5e+FyA0MLZmf1oVvHwDQwqOVW6kKBK2HFVelmec5htu4rBiAywsaEe7uQdU/ngDYwqOVW6kKBK2HBMAx25ZXw5saDlF+qAaBHWkvmZDnpkNQi4OdXy63UhQJXQl7ZxWqWbchj96GzAERHRTBlaHeG3pHaqAaG+tJocbkZBa6ELJ9h8NnfT7Lir4eprPY3MPTrnsRjD/SmTWKM6fVc3XJri4zA8HjVciu1FLgSkk6dq2BJdi55x88D/jetZozqycA+7Szv5rrcchtuo8Wl8RS4ElI8Xh/rdxayems+Hq8PgMxb2zNtRA8S4qJueOzlPQ5clW7iYx0B2+NA5HoUuBIy8k+Vs/jjXArP+BsYkhKjeWyMk77dkm54nMaKS7BQ4ErQq3Z7Wb31GOt3FvobGIAR/dOYNKQbMVE3/yesseISLBS4EtQOFJSxJDuXM+crAejYtgWzs5z0SG1Zp+O1x4EEEwWuBKVLVf4Ghi17/Q0MEXYb4+/twth7OuOIrHsDg/Y4kGBieuCuWLGCZcuW1X5cVFTExIkTef75580uRYLUrtwzvLnxIBe+bWDo3jGR2VlOUpPj6/1a2uNAgonpgTtlyhSmTJkCwKFDh3jyySf5p3/6J7PLkCB0rryKV1bt46uDJYD/8arJQ7ox/M60m+5TcD3a40CCiaW3FH7729/yy1/+kjZtmm6bPAk9hmGwZW8xKzYd5lKVB4DburXhsQd607ZlbKNeW3scSDCxLHC3b99OVVUVWVlZ9TouKan+v1ZeLTk5odGvEUxCeT0nz7r4/1buZe9hf1tuQlwU/+fB2xh6Z1qTPao1ZWQv3t14EEfk9/c48HoNpo7qRVrHVk1yrquF8vfmauG0FrBmPZYF7jvvvMOcOXPqfVxpqeum9+RuJNy6f0J1PV6fjw1fHueDLcdwe/wNDEPuSOOh+7qQGBfF2bOuJjtXRpfWXLwnnXU7Cqn0XTlWPOuedDK6tA7I32Gofm+uJZzWAk2znoYEtiWBW1NTw5dffsmLL75oxenFYoWnL7Lo41wKTvv/wbdJjGbm6N6MzOwakP+pNVZcgoUlgZuXl0eXLl2Ii4uz4vRikRq3lzXb8lm3oxCfYWADht+ZxvhBnckvvkjOrkKNFZewZkngHj9+nPbt21txarFIXmEZi7NzOV3mb2DokBTHrDG9OV1WyR/e2q2x4tIsWBK4Y8eOZezYsVacWkxWUeVhxV8Ps/nvJwH/I1hj7+nM+Hu78MX+UxorLs2KOs0kYHYfLGHphjzOu/wNDF07JDIny0laSrxabqVZUuBKk7vgqubNjQfZledvYIhy2Jl0f3dG9v9HA4NabqU5UuBKk7m8DeLynH80MNzapTWPjXGS3OrKBga13EpzpMCVJnHmfCVvrMtlf34ZAC1iIpk2oif33tb+mm98qeVWmiMFrjSKz2fwya7jrNpylBq3v4Hh7j4pTB/Zi5Ytrj+BQS230hwpcKXBjp9xsTj7AMeK/c0KrROi+eHoXtzRM/mmx2qsuDRHClypN7fHy4fb88n+wj+yBmDoHak8PKQ7cTF1/yelseLS3ChwpV4OHj/P4uxcTp2rAKBdmzhmj+ndoF/9NVZcmhsFrtRJZbWHlZuPsOmrEwDYbf6NX34wqAuOyMaFo8aKS3OhwJUbqnZ7+fjzAnK+Kqp91Ktz+wTmZDlJbxde2/WJBJoCV67JMAw27vJvn1hV4639fEKcg6G3d6RTSuP3JRZpbhS48j2GYbA4O5et+4oxvu1NiImKoE1iDDYbfPx5AXa7TfsciNSTAleucPZ8JYu/08Bgt0HrhBhaxEb+o4FB+xyINIgCVwB/A8Onfyti1WdHqXb7byHERUfSJjGaiGtsLqN9DkTqT4ErnChxsSg7l6MnywF/0EZE2GiTGHPdY7TPgUj9KXCbMbfHx0ef5/PR5wW1DQz3Z3Tkls6tWbXl6A2P1T4HIvWnwG2mDhddYFH2AYpL/Q0MKa1jmTXGSZ/Oral2e1m97Zj2ORBpYgrcZqay2sOqz46S87ciDPwNDA/c3YmJg7vW7k2rfQ5EAkOB24zsPVLK0vW5lJZXA5CeEs+csX3o3P77DQxX73Pw3dHi2udApGEUuM1AeUUN73x6iC++OQ2AI9LOxMFdGX1Xp2veMgCNFhcJBAVuiKp2e8ktKMNeUHbd0eKGYfDF/tO8/ckhXJX+Jwqc6a2YNcZJuzZ1G1Gv0eIiTUeBG2Iuj7FZt6PwhqPFSy9UsXRDHnuPlAIQGx3JlGHduT+jI3aNHhexhAI3xGzdV3zD0eKGYeD2GKzcfITqb/dAuLNXMo+O6kXrhGiLqxdp3hS4IeRmo8Xddh9vbjyE2+MfddOyRRSPjurFAGeKFeWKyFUsCdycnBxeeeUVKisrGTRoEM8995wVZYSc640WNwyDC5dquOCqqf3c4H4deGR4D1rEqDlBJFhc+y3qADp+/Djz58/n1VdfZc2aNezfv5/NmzebXUZIutZo8apqD8WlFbVha7fbyBqYzo/G9lHYigQZ069wN27cyNixY2nfvj0ACxdyX9rjAAANrUlEQVQuJDpa9xbr4rujxX0+g/Ou6iv2M0iMcxATFUHv9FZWlSgiN2B64BYUFOBwOHjiiScoLi5m6NChzJs3z+wyQtLl0eKuyhrOu2rwev1Xu45IO0ktY4iw2/D5DLXcigQp0wPX6/Wya9culi5dSlxcHD/96U95//33mTRpUp2OT0pq/KSB5OTQHA1TfqmGlgnR5H67V60NaJ0YTeuEaLw+g6pqL1NH9SKtY+he4Ybq9+Z6wmk94bQWsGY9pgdu27ZtyczMpE2bNgCMHDmSvXv31jlwS0td37uPWR+hOKjQMAy+zD3DWxsPUv7tLYSoSDsJcQ4iIyNwVbj9927vSSejS+uQW99lofi9uZFwWk84rQWaZj0NCWzTA3fYsGE8/fTTlJeX06JFC7Zs2cKIESPMLiNknCuvYtmGg/z98FnAP+pmyrAe3HNrOw4dP6/R4iIhxPTAzcjIYO7cucyYMQO3282gQYOYPHmy2WUEzOWWW1elm/hYxzVbbuvCZxhs3n2CFX89UjvE8fYebfnh6F61G4NrtLhIaLHkOdyHH36Yhx9+2IpTB8zVLbc+n4Hdbvtey21dFJdeYkl2LgeLLgD+pw9mjOrFXc6UOr+GiAQfdZo1katbbi+73HIL3HTKrcfrY92OQtZsy8fj9XeLDbqtPY+M6El8rJ6pFQl1CtwmcLOW27pMuT1WXM6ij3MpKnEB0LZlDI+N6c1tXZMCXr+ImEOB2wSu13J72Y2m3FbXePlg61E2fHkcw/A/6jVyQCceur8rMVH69oiEE/0f3QSu1XJ7tWtNuf0m/xxLsnM5e6EKgNTkFszOctK9Y8uA1Soi1lHgNoHvttxez3en3F6qcvPup4fZuq8YgMgIG+Pv7cLYezpfdwKDiIQ+BW4TuNxye7Mpt706tWJX7hmWbTxI+SX/ZjM9UlsyK8tJatsWZpctIiZT4DaBuky5Hd4/lb98uJ/dh/wNDNFRETw8pDvD7kzVBAaRZkKB20SuN+XWZoOenVqxZms+ld82MPTrnsTM0b1JahljZckiYjIFbhO51pRbj9fH9q9Psf3rU4D/Xu+MkT0ZeEs7NTCINEMK3CYW7Yjg1q5tWL/zOKu3Hqsdd5N5azumjehJQlyUxRWKiFWaTeDWZax4Uyg4dZFF2QcoPO1vYEhKjGbmA076dVcDg0hzF/aBW9ex4o1V7fayZusx1u88js8wsAHD+6cx6f5uxEaH/V+ziNRB2CfBzcaKw833OLiZAwVlLMnO5cz5SgA6JMUxZ2wfeqSqgUFE/iGsA7cp9ji4kYoqN8s3HeazPf4Ghgi7jXGZnRmX2QVHpBoYRORKYR24jdnj4Gb+llfCso15tdNyu3dMZHaWk9Tkxo8AEpHwFNaB29A9Dm7kgquaZRsP8re8EsD/VMKkId0YcWfaTdt7RaR5C+vAre8eBzdiGAZb9hazPOcwFdUeAG7r2obHHuhN21axTVKviIS3sA7cuu5xcLOx4mfKKliyLo8DBf5puS1iIpk+sieZt7ZXA4OI1FlYB25d9jgYP6jLdd8w8/p8bPyyiA+2HKXm2waGgbe0Y/qIniS2UAODiNRPWAcufH+Pg6oaGxj+eWPjB3Wp/frVCk9fZFF2LgWn/AMa2yRGM3N0bzJ61O/NNRGRy8I+cK/e4+BmY8XdHi9rtuWT/UUhPsP/htuwO1N5eEh3NTCISKM0mwSJdkTcdKx4XmEZi9flcfpcBeBvYJid5aRnWiszSxWRMNVsAvdGKqo8rNx8hL/uPgH4n1zIuqczE+7tjCOy6fdbEJHmqdkH7u5DJSzbcJCyi9UAdO2QwOysPnRKUQODiDQtSwJ35syZnDt3jshI/+n/4z/+g4yMDFNruHCphrc2HuTL3DMARDnsTLqvGyMHdFIDg4gEhOmBaxgG+fn5bNq0qTZwzT7/tn3FvPPpIS5V+RsYbunSmlljnCSrgUFEAsj0xDt69CgAP/rRjzh//jxTp07lhz/8oSnnLjlfyZ9X7ePvB/1tuS1iIpk6vEeTbdEoInIjpgdueXk5mZmZ/Nu//Rtut5vHHnuMrl27MmjQoICd0+cz+GTXcVZtOUqN29/AcJczhRkje9IyPjpg5xUR+S6bYRg33t0lwBYvXszJkyd59tlnA/L6+cXl/M/y3RwsPA9Am8QYfjq5H/fcdu2GBxGRQDH9CnfXrl243W4yMzMB/z3V+tzLLS113XQHMAC3x8eH2/PJ/qIA77f//dDbO/LEw7dT4aq67rO4oeZGzxWHmnBaC4TXesJpLdA060lOTqj3Mabvkn3x4kX+8Ic/UF1djcvl4v3332fUqFFNeo5DRef57aKdrN2ej9dn0K51LE/PuIPHxjhpEXvzncFERALB9CvcYcOGsWfPHh588EF8Ph8zZszgjjvuaJLXrqz2NzBs+srfwGC32ci6J50J93a57ibkIiJmseQ53Hnz5jFv3rwmfc09h8+ydEMe58r9DQyd2yUwZ6yT9Hb1v+wXEQmEkO80K6+o4e1PDrFj/2kAoiLtPHhfN0bdlUaEXXPFRCR4hGzgGobB59+c4p1PD+Oq9I/Icaa3YlaWk3at4yyuTkTk+0IycM9eqOSN9Xl8ffQcALHRkTwyvAf39VMDg4gEr5AL3K37ilm6Lo9qtxeA/r2TeXRUL1qpgUFEglzIBe6arceodntpGR/FD0f1pn/vZKtLEhGpk5ALXID7MzowdVgP4mL0TK2IhI6QC9zHf3Ar3TokWl2GiEi9hdxzUz1SW1pdgohIg4Rc4IqIhCoFroiISRS4IiImUeCKiJhEgSsiYhIFroiISRS4IiImUeCKiJhEgSsiYhIFroiISUJuLwW7vfH73TbFawSTcFpPOK0Fwms94bQWsGY9NsMwbj5zXEREGk23FERETKLAFRExiQJXRMQkClwREZMocEVETKLAFRExiQJXRMQkClwREZMocEVETNIsA/ell17iN7/5jdVlNEpOTg6TJk0iKyuL//zP/7S6nEZbvXo148aNY9y4cbz00ktWl9MgLpeL8ePHU1RUBMD27duZMGECo0ePZuHChRZXVz9Xr+Xdd99l/PjxTJgwgWeeeYaamhqLK6yfq9dz2bJly5g5c6ZpdTS7wP388895//33rS6jUY4fP878+fN59dVXWbNmDfv372fz5s1Wl9VglZWVLFiwgKVLl7J69Wp27drF9u3brS6rXvbs2cP06dPJz88HoKqqimeffZZXX32Vjz/+mK+//jpkvkdXr+XYsWO8/vrrvPPOO6xZswafz8dbb71lbZH1cPV6Ljt8+DCvvfaaqbU0q8A9f/48Cxcu5IknnrC6lEbZuHEjY8eOpX379jgcDhYuXEhGRobVZTWY1+vF5/NRWVmJx+PB4/EQHR1tdVn1snz5cubPn09KSgoAe/fupXPnznTq1InIyEgmTJjAunXrLK6ybq5eS1RUFPPnzyc+Ph6bzUavXr04efKkxVXW3dXrAaipqeH555/n5z//uam1hNxuYY3x/PPP88tf/pLi4mKrS2mUgoICHA4HTzzxBMXFxQwdOpR58+ZZXVaDxcfH84tf/IKsrCxiY2O56667uPPOO60uq14WLFhwxcdnzpwhOTm59uOUlBROnz5tdlkNcvVaUlNTSU1NBeDcuXO8+eab/P73v7eitAa5ej0Af/zjH5k8eTJpaWmm1tJsrnBXrFhBhw4dyMzMtLqURvN6vXz++ee88MILvPvuu+zduzekb5Pk5uby3nvvsWnTJrZs2YLdbuf111+3uqxG8fl82Gz/2P7PMIwrPg5Fp0+fZtasWUyePJmBAwdaXU6Dbdu2jeLiYiZPnmz6uZtN4H788cds27aNiRMn8uc//5mcnBxeeOEFq8tqkLZt25KZmUmbNm2IiYlh5MiR7N271+qyGmzr1q1kZmaSlJREVFQUkyZNYufOnVaX1Sjt27enpKSk9uOSkpIrfqUNNUeOHGHatGk89NBDPPnkk1aX0yhr167l0KFDTJw4keeee46vv/7atN8Qm80thUWLFtX+edWqVezcuZNnn33WwooabtiwYTz99NOUl5fTokULtmzZwogRI6wuq8GcTicvv/wyFRUVxMbGkpOTQ9++fa0uq1EyMjI4duwYBQUFpKWlsXbtWkuuqJqCy+Xixz/+MfPmzePBBx+0upxG++7tkB07dvDKK6/w3//936acu9kEbjjJyMhg7ty5zJgxA7fbzaBBg0L2f2aAwYMHs3//fiZNmoTD4aBv3748/vjjVpfVKNHR0bz44os89dRTVFdXM2TIEMaMGWN1WQ2ycuVKzp49y6JFi2ovXIYPH84vfvELiysLPZr4ICJikmZzD1dExGoKXBERkyhwRURMosAVETGJAldExCQKXBERkyhwRURMosCVZuH9999n5MiRXLp0iYqKCrKysvjggw+sLkuaGTU+SLPxz//8zyQkJFBTU0NERAS/+93vrC5JmhkFrjQbLpeLiRMnEhMTw6pVq0Juz10JfbqlIM1GaWkp1dXVlJeXc+bMGavLkWZIV7jSLLjdbqZNm8a0adPw+XysWLGCt99+G4fDYXVp0ozoCleahf/6r/+ibdu2TJkyhUceeYTWrVuH3GBHCX26whURMYmucEVETKLAFRExiQJXRMQkClwREZMocEVETKLAFRExiQJXRMQkClwREZP8P9W5X00z7cUcAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lmplot(x=\"x\", y=\"y\", data=anscombe.query(\"dataset == 'III'\"),\n",
    "           ci=None, scatter_kws={\"s\": 80})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the presence of outliers, it can be useful to fit a robust regression, which uses a different loss function to downweight relatively large residuals:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x1a231692b0>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lmplot(x=\"x\", y=\"y\", data=anscombe.query(\"dataset == 'III'\"),\n",
    "           robust=True, ci=None, scatter_kws={\"s\": 80})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When the ``y`` variable is binary, simple linear regression also \"works\" but provides implausible predictions:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x1a22f884a8>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tips[\"big_tip\"] = (tips.tip / tips.total_bill) > .15\n",
    "sns.lmplot(x=\"total_bill\", y=\"big_tip\", data=tips,\n",
    "           y_jitter=.03)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The solution in this case is to fit a logistic regression, such that the regression line shows the estimated probability of ``y = 1`` for a given value of ``x``:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x1a23920c50>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lmplot(x=\"total_bill\", y=\"big_tip\", data=tips,\n",
    "           logistic=True, y_jitter=.03)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that the logistic regression estimate is considerably more computationally intensive (this is true of robust regression as well) than simple regression, and as the confidence interval around the regression line is computed using a bootstrap procedure, you may wish to turn this off for faster iteration (using ``ci=False``).\n",
    "\n",
    "An altogether different approach is to fit a nonparametric regression using a `lowess smoother <https://en.wikipedia.org/wiki/Local_regression>`_. This approach has the fewest assumptions, although it is computationally intensive and so currently confidence intervals are not computed at all:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x1a23b1a860>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lmplot(x=\"total_bill\", y=\"tip\", data=tips,\n",
    "           lowess=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The `residplot` function can be a useful tool for checking whether the simple regression model is appropriate for a dataset. It fits and removes a simple linear regression and then plots the residual values for each observation. Ideally, these values should be randomly scattered around ``y = 0``:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1a23fafef0>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.residplot(x=\"x\", y=\"y\", data=anscombe.query(\"dataset == 'I'\"),\n",
    "              scatter_kws={\"s\": 80})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If there is structure in the residuals, it suggests that simple linear regression is not appropriate:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1a24201ef0>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.residplot(x=\"x\", y=\"y\", data=anscombe.query(\"dataset == 'II'\"),\n",
    "              scatter_kws={\"s\": 80})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Conditioning on other variables\n",
    "-------------------------------\n",
    "\n",
    "The plots above show many ways to explore the relationship between a pair of variables. Often, however, a more interesting question is \"how does the relationship between these two variables change as a function of a third variable?\" This is where the difference  between `regplot` and `lmplot` appears. While `regplot` always shows a single relationsihp, `lmplot` combines `regplot` with `FacetGrid` to provide an easy interface to show a linear regression on \"faceted\" plots that allow you to explore interactions with up to three additional categorical variables.\n",
    "\n",
    "The best way to separate out a relationship is to plot both levels on the same axes and to use color to distinguish them:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x1a24190c18>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 418.459x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lmplot(x=\"total_bill\", y=\"tip\", hue=\"smoker\", data=tips)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In addition to color, it's possible to use different scatterplot markers to make plots the reproduce to black and white better. You also have full control over the colors used:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x1a24201208>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 418.459x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lmplot(x=\"total_bill\", y=\"tip\", hue=\"smoker\", data=tips,\n",
    "           markers=[\"o\", \"x\"], palette=\"Set1\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To add another variable, you can draw multiple \"facets\" which each level of the variable appearing in the rows or columns of the grid:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x1a245b80f0>"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 778.459x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lmplot(x=\"total_bill\", y=\"tip\", data=tips, hue=\"smoker\", col=\"time\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x1a247ae668>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 778.459x720 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lmplot(x=\"total_bill\", y=\"tip\", hue=\"smoker\",\n",
    "           col=\"time\", row=\"sex\", data=tips)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Controlling the size and shape of the plot\n",
    "------------------------------------------\n",
    "\n",
    "Before we noted that the default plots made by `regplot` and `lmplot` look the same but on axes that have a different size and shape. This is because func:`regplot` is an \"axes-level\" function draws onto a specific axes. This means that you can make mutli-panel figures yourself and control exactly where the the regression plot goes. If no axes is provided, it simply uses the \"currently active\" axes, which is why the default plot has the same size and shape as most other matplotlib functions. To control the size, you need to create a figure object yourself."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1a24e13e80>"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, ax = plt.subplots(figsize=(5, 6))\n",
    "sns.regplot(x=\"total_bill\", y=\"tip\", data=tips, ax=ax)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In contrast, the size and shape of the `lmplot` figure is controlled through the `FacetGrid` interface using the ``size`` and ``aspect`` parameters, which apply to each *facet* in the plot, not to the overall figure itself:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/luke.thompson/miniconda3/envs/python3/lib/python3.7/site-packages/seaborn/regression.py:546: UserWarning: The `size` paramter has been renamed to `height`; please update your code.\n",
      "  warnings.warn(msg, UserWarning)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x1a252b1c88>"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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jzazbcZT65hiQWjWYfdkoFl4zvl/jazBkPSEdOXIEt9vN3//933PixAkWLFjAP/3TP2U7jBEl0y1+estxHFp6uTvIUYrNu06wYedRbEdh6Bq3zK7mC9PH9HmJzaVrFATc+DwuNJBkJHKaadm0hhODdrz4oRNtrHu3ltpT4fRjMyaVs3hWFeU51v1eUyq7w/XRRx/lgw8+YNWqVQQCAf7hH/6BpUuXsmzZsmyGMWLs/OwUv3lpNy6XluqmYNpYluLBZTO49rLRg3bdRMLidDiO04u6upZQgv/72ifsOdIMwJjyAH9755VUjS7s0zU1UuvghQUeKZAVeSGWMGkJJRiMFbpj9SH+uKmGj2ua0o9dOamcL94wqddjS9NgTFkBepY65Wd9hlRRUcHcuXMpKysD4KabbmL37t29TkhNTeGMVylXVhbS0BDK6GtmS0+xP79+D2hg6DqWrVL/1WyeX7+HCRX926nWk6Rp09JDNXlZWQGnT0f49PBpXtp0MH1jdfZlo7ht7gQ8Lp3TpyO9up6mpVoXBQMerIRJc8LMyM9xPj39zisr+5ZI+0vGwhn5F/eZ48VLSwt6/V7vje5qiapGBVkypzrd+b6319N1DZdS592ReqHfe3/GQdYT0sKFC/nud79LW1sbBQUFvP322yxatCjbYYwYmWrx0xt9Occoadqs2XyI7Z+eAlIzm2U3TOSKS8r6dE23S6PQ78HrMWRpTuQFhaItkvmzi0LRJG++f5wde86qJZpdxWUTSvOi2XDWE9LMmTN54IEHuO+++zBNk3nz5rF8+fJshzFiZKLFT+8owrHebes+0RThDy99RF1j6lPaxHFF3LVwMsUFvb+xqusaBX43Be3HS0gyEvnAdhxaw8l0zU8mxJMWb+86wZaPuq8lytZyWyYMyR6/FStWsGLFiqG49Igz0BY/vdVxqN6FKKXY9slJ1m6vxbIVuqaxeNZFXD9jXK8HjaalZlMFPrecACvySqa3dHdXSxTwulgwxLVEAyGdGoa5gbT46Y1UjVGyxxqjcMzkD2/VsPdoC5BaSlixYBJVo4K9vlZHux+vW7Zxi3zS96LwC7EdxYf7G3h957H0gZQel868GWO5fkZma4myvconCWkE6E+Ln95QKFojSeKJC29X3Xe0hRffqiHcPoO65tJKvnb75UQjiV5dp2Mbt98jy3Miv2TyfpFSis+ONLO+Uy2RoWvMumwUC6/ObC2Rrmv4vS783uy22JKEJPqlN4fqWbbDuu21bPn4JAA+j8EXr7uEmZMr8HldPSYkTYOAz02BT9r9iPyTyftFB+tStURH61O1RBowc3IFN117EWUZqiXSNHC7DAI+F163jjYE3R4lIYk+c5RDcyiJaTnsrW3m7V11NIcSlBZ6uX7mOKZWl1LfHOP5jfs50RQFYMLoQu6+cRKlhb0bPB63QWHAjVvqiUQeSpiZ6dJd1xhh/Y5a9h1tTT82taqEm2dXMba8YKBhAmdmQz6Pgcc1tMvhkpBEn1i2oiWUwHIUe2ubeWXLIQxDx+d10RYzWbP5IJdNKGPnngZM20HT4MZrLmLB1eN7tQnB6LQ8J3MikW8y1QKoqS3Ohh1H2d2pqLV6dJBbZp+pJRqIjtmQ32vgdRvpFYihXg6XhDRC9aed0CeHm/jLtiOcaIpSWuglErcwDB2PK7Wl3KXrtCWSbPskVVtUEvRw942TuXhM9wOo8+yqssTPzXOq8HkM/r+1tZxqjmW1zZEQA2U7ilAkSXwAXbpD0SQb30+dS+S0Z4dRpX5umVXFtAzUEum6hs9j4Pe6cBsauXZMpSSkEWh3TSPPbtiHYegEfC5aIkme3bAP4Lz/+H98qInnXt+HZav0bKipJU5JoQdcBomkTXM4ke4cMGNSOV+87hL83u7fYh/XNPLKlkO4DJ3KUj9ut8HqjTXEkjYBn6vXcQmRC5KWQ1s4tXLQHx21RJs/OoHZfs+pJOhh0ecGXkukaeBqH+udZ0O5SBLSCLR2ey2GoaeLZb1ug0T74939wx83bf687TCWrdKzIY/LwGVohCJJTEuld9ABVBb7+MqNky/4aW799loK/G4qivyYtkMkZqaPJi8t9PYqLiGG3pkWQP1Z7jIthw3bj/DnrYfTO/ECXhcLr0nVEg2kJ2PHbMjnceFx5d5sqDuSkEagvrQTipupTsSnTsfwnTXb8XsN2qJWOhm5DI2Az8VtcydcMBlpWmoLa1mhl1DMxLJTnwhTN4C7jurBanMkxED1tuyhO7aj+Ms7R9j+6an0xgeXoXH9zHEDqiXqmA35fS58OT4b6o4kpBGoN+2ENA0icYtQ+ye/0kIvbTETj8tAKUUsYRGKnqmt8Ll1xpYHuOGq8Rc8SM/rNijwuykKejleH+oSQ2rTQ9cBNDhtjoQYGMtRtIYT6eW13lJK8enhZl7bejhd1AqpkgivW6d6VLBfySgfZ0Pd6fVP3traimEYBIO9r6wXuanndkIq1QooaqbnK9fPHMcrWw4RV4pozEqf3eL3urjvpilMGl98wWu6DI1gwIPPrQMad8y7hF+/+GGXGHweAzSNhGkPapsjIfpL0yCWTG3p7mun9YN1rax792i6lghSqwypJWqNpGXz9q66Xp+MrGmppXO/z4XHpefdbKg7PSakgwcP8sgjj/DZZ5+haRpXX301P/3pTxk3blw24hOD4ELthJSCUOzc48anVpfy+eYoG3Yew7JTA7FqVJCvL5lKwOc+77U6iluDfleXQrtrLxvNVxdf2iWGe26cfN64hBhqZ8ZG37Z01zVGWPduLfuPnaklchsaxUEvHnfqXqxlK9yGnr6Pej4aYBipuiGvx8BtDK82Wj0mpH/5l3/hrrvuYvny5SileP755/nf//t/85//+Z/ZiE8Mku7aCZ3vuHHbUbz1wXE2vn8MpcBt6Nw2dwKzLxt1wXtFXrdBYcCDy+j+e87X0kgSkMg1lpMaG705/bhDU2ucDTu7ryV6Y+dR2s5qRmzaTnpDz9nSS3JuF263nv5oN5ySEfQiIcViMe6555701/fffz8vvPDCoAYlss9xHFq6aXPSHIrzwsYajpxKHcI1tjzA3TdOZnTp+Q/3c+kawYIzy3NC5Kv+LNG1dZxLdIFaoo4l8CRg6AZJy8a2Ha6f2XXlydBTG4V8HteI6G7fY0KaOHEi77//Ptdccw0A+/bt46KLLhr0wET2WE579wW764DbXdPIH98+lJ4xzbtyDLfMqT7vVtSOoyGCfvewWM8WQ68/BdyZ1BpJEotb9CYVxRIWb++qY8vHJ7vUEt10bRVXTa7oUks0tbqUO4G3d9XRGjUpDrjTbbc0wHBpBHxu/B5jSHrKDZUeE1JdXR33338/U6dOxeVy8emnn1JZWcnSpUsBePXVVwc9SNFV50E6tjLIoqvH9XuQmrZDa+hMQd/e2mY2fXCcuqZoerZU4Hdz14JJXFpVct7X6TgawpOHZ7CI3NSfAu5MsWxFWyTRq8aopuXwzicneevDujO1RD4XC6++cC3R1OpSplaXUlaWOsJc1zW87lQXhZE6jnpMSN/+9rezEYfopbMHaXNbrN+DNGk6tETOdFfYW9vMS3+tIRK304+5DI3bP1993mSk6xpBvxu/V3rPiczqawF3JiggmkjtMHV6uEFjO4oP9jXwxnudziVy61w3fSzX9bKWSNNSS9xFQU9e1g1l2nl/YzU1NUyaNImCgu47yl5xxRUDuvBPfvITmpubeeKJJwb0OiPN2YPU5zawbNXnQRpLWrRFzlSXO47i1S2HutQWFRV4cLs0du6p56oplV2er2ng86SW50bC2rbIvr4UcGeC4zi0Rcwee9EppfjkcDMbdtTS0JKKxdA1Zl8+moVXjyfoP/+u0w6de8qNKgvQ2Ji5I83z2XkT0k9/+lN+85vfcNdddzF27FhUp08LsViMbdu29fui27Zt4+WXX2bBggX9fo3h7uy182nVJezcU8+xxtRxDm6Xjt9jYNoOSdOhqSXO7prGXiSl1OmV7+9rYNMHx2kOJSgMuElaitOh1Kc8l6FRWujD7dJRSp2zFdXt0ikMeOTkVjGoelPAnQmfHG5iy+4THK0P43Ub6Xs53ampa2Xd9lqONUSAvp9L5DI0/D43PreR/iA30Iapw8l5E9JPfvITWlpamDRpEqtWrUIphaZpmKbJ3/zN3/T7gi0tLTz55JP8/d//PXv27On36wxnZy/LnWqOsae2hc4TEdNyMC2n05uaXi3dhWIWH+yrZ83m1LERaHC0IZJOLD6PQUmhN7100Hkrqq5rFPjdBDyu9vY/g/DDC9Gu5wLugfv08Gle2XKYtkgSXdNoi5m8suUQd0KXpHS8McL6s2qJplWXcPPsasaUnX/HKYCuaXjcOgGvu8uWbXGu8yakf/7nf2bLli1omsbcuXPTjxuGwS233NLvC/7rv/4rDz/8MCdOnOj3awx3Zy/LddwodRTpIroOjlIYupZKIrp23qU7Raq1fTRu8dcP69B1jWjcShfAahoUBdzouoZlO7gNHdNO/QMw/+rxBHwuCnyyPCey50IF3JlgOw4bdh6lOZTo0jQ4CemOCU2tcdbvOMpHB8/UEk0YXcjNs6t6PJfozGxIxzXMClgHy3kT0jPPPAOkCmP/7d/+LSMXW716NWPHjmXu3Lm89NJL/XqN8vLBaV1UWVk4KK/bH6fDSQr9rvRUvnMCMnQdDYXZ3pAUBZWlAQp8rtTyWjh5zs9iO4rmtji+gIYv4KUxlCAaM9Ov6/UYlBV6SFqKe2+eyvrttTS1xqgsDXDHvEuYfcVo/N6e18X7Kpd+532VC7GPhLGwqLKQRZ+/pFff25e4I7EkbZEkRxsiFHiNLstmhm7QHE6ydsdRNu+qS2/wGVdZwJdumMT0yRXnXWbTaG/n43fh97h6fWxELv3O+yqTsWtKZS9vf+Mb36ChoQHDMGhtbSUajfKlL32J73//+71+jaamcJ97SPWksrKQhoZQRl9zIH763Ptd1s5PnY6ma4E6toOaloMiVfczqtQPpI5NLinw8J37rkm/lkLRGk51X3CUYutHJ/nzO0fSf18UcFPgd2PaDkV+Nw8sTW1WOdN77sz6fSbl2u+8L3qKPVv/uIyEsdBbvY1boQhFTWIJC6Xg/7z6SbppMKQ297RGEsQTdrr2qCToYfG1Vcw8q5aoM0PX8Ptc+D1Gn2dD+fo7hwvH3p9xkNVu353bDb300ku8++67fUpGI8XZa+d+r4t40kbXUkt0HW/2VJ+41Myou/V1R6lU9wXTJhRN8odNNew7mloD1zUoLPAQ8LrSS3PXzxyHrmkE/C4KfK4RVZAnhr+k5RCKJjCtM9mio2NCQimSpkO409HjBT4XC3qoJXJ1U8AqS3P9J8dP5KCz185Hl/qZP3MsO/fUc6o5jqYpxlYWcO3USmpOhjnRED5nfd12Ume1JE2bvbXNvLjpIJH23lmfu7SSqdUlvPPJSZpDCUoLvdxwVaq4Nhhw49JHZlGeGJ6UgkjCJBI7tynq5ItKmFZdyruf1Xc5l+iGmeO4fsY4vJ5zVwh0TcPjSm04crsN+diWQUOWkJYtW8ayZcuG6vI5r6PxaMf2780fnaSi2MeKhZO73NTtbspsOw4t4QTRuM26d2vZ+vFJILWD7kvXT2TGpHIArpyY+q/L0NLbuKX3nMi2wWgPtLumkdd3HsW0FH6fwcxJFV12zXXUEq1/tzZd12ToGnMuH82CbmqJNK2jy7ZsUhhMMkPKUbtrGnnxzQPUNUVxGTrFQU+vWqd0tAI63hTh+TcOcPJ0qm5pwphC7l44uUs3YVmeE0NtMNoD7a5pZM3mQ/h9bhKWRVNDnCMnQ+mt3N3VEl01JVVLVFrYtZZI1zS8nnPb+UgyGhySkHJQxyBtDSfRdQ1HQXMoQVmRD8PQz7u1O2k5NIfibPvkJH/edgTLVugaLLzmIhZcPb5LzZLXbcjynBhymW4PpGnwzqcnQdNoDSdQ6sxW7td3HmXrxye71BJdNqGUxbOqzqkl0vXUmUMBb983KYj+k4SUg1588wCt7UdBaICuK0CjsSWGpkFTS+ycrgwJ06auIcKLm2r47EgzkDp2/Cs3TqZ69JndLm6XRqHfg9djyCATQy6T7YFsRxGKJanAgUK6AAAgAElEQVQ51obLpRNPWoTjFpbpwFmF3BPGFLJkdjUTxnTdCebSNfz+1CaFjuJwGSfZIwkpx+yuaaSuKZreXqqAVMlR+w1XXUPTtPSyxqLKQqJJiw/2NvDCmwcIRVMbF2ZOLueL112SbvCYboIqXRZEDslUe6BI3KS5LY7lKAoDbhpa44RjJqj2kdP+fi8Jerhz3iVMrS7pUkvkMjQC/pF33EOukfWaHLN2e237FlOt25NWFVAc9GAYOm99cJzG5hgvvLGfZ/70GaGoicetc9eCSXzlxin42pNPwOeivMhHwJv6WohcsWRONbbtkDBtlFIkTLvP7YFCMTN1nlf7Lrk5l49Ob9/u/LnL5zUoDXrSh+RBatt2cdBDeZE/1RJLktGQkhlSjmlsjVMc9LQ3NNVwGWc6Neg6oKChJU5J0EttfZh/+sVbtIZTTVG9bp3PXVrJe3vreeO9o1SNCrJoVhXTLymXGZHISd21B5pWXcLa7bU886fPsG2Fy9AYV1HQZfedpkEi6RCKpeqKvH4Pnxxq4i/vHKE5lOySiAxdo6jAjc/joqV9rLhdeur8rm62bQ/1oYAjmSSkHNOxhFFW5KMtksSyFRqkZzYKKC/2Ek/YROJnjooo8LvQNdj26SkqS/xUjS7kdFucp//wET63cc6AFiJXdJQ4wJkNPablEE1YoCBhKk41p8790oArJpYTipjEk6luC7ajeH7DXt56/1iXD14aUBx0E/B5gFQ5RPWYQkoLvV2WCDsbykMBhSzZ5ZyOJQxd1xhV6qeixE9hgQdN03DpOuVFPlrDyS7JCFI3gm0HKot9uAyd+uYYdU1RbDu1DNIxsHbXNA7RTyZEzzp23cWSduoob11D03RiCYvCgJttn5zkdGucWMLCcRQfH2ziqdW7ePO9Y106LJQEPWgaRGIWuta+XFfoZfG1F503GXW+vted6m/ndRvpna1i8MkMaYicb1mguyWMe26czHMb9mE5ioaW2DmvpWmpTuDFBR6icZOmtgQul96+Q0/DdlRWTtsUYqA6dt1ZlpM+biXod+H3uvB6XBw41orlKA4cb2Xdu7Ucb68lAvB7DQoDnnSbH8PQQEEwkNqsMP+q8Vx+cXmvrt/ZYB4KKLqShDQEeloWOLtLwx/fPkg8adPWvoOuM6/HoCToxbJtGpqjKDRcLj09oFNHVqQGqAwskes6lqxdLh2vW6co4CFhOoSiSUzbwesx+N2fPuPA8a61RNGETSSexGXo6Frq3K5SlxePofPN5TP6fP3BPhRQdE+W7IZAb5YFdtc08t+v78e0HU6djp2TjHRdo6zIR3GBh7ZIkrZwEkeluhl3dBx22ve7FhWk1tBlYIlct2RONV63TvWoIB63QX1zjKbWGApoDSc53hhNJ6OLxxTy4J1XcP8tU1l6/SU4joPXo1Ne4kt/QJt/1bg+X3+gu/5E/8kMKct21zRSc7wVRyncLoOiAk+6LUnn2cvrO4/hcukcqmuj44SB1JHiDl6Pm8KAm0TCxCJ1zLijFD6Pi5tnXcSe2haON0ZwHEUw4MbnMS44sGRXkcgVU6tLuXVONW/sPEYsbqWXnSOxM/dMx5QFuGV2FZdWnaklmjG5Apd2GW9/eJyj9RHKirzcd9OlfX4fD/ahgOLCJCFlUcdSnaalqh0sW9HYGsfQtdSnO7eL3TWNWI7Dwbq21C4jUveISgu9FPjceD0GX7r+Yv7fun14vW4KfC48bgPbdvjq4tQAvLPT9XoaWLKrSGRT9+/JcpKmIhw3SZo21aOLuOemS/nrrjo27z7RpQv33CvGcMuc6nQXBV1LnUNUWRpgxsRyZky88D2i3uh8L1dklySkLOpYqisOejgdSoBycJzUoWCGoeFx6zy7fi/N4WSXU2I1DQoDbgr8HtyGxuUTyrln0RTWbq+lOZykNOjpNtn0ZmBlupeYEOfT+cNP0O/GdBzWvltLwrSpHl2IUpC0bN75+BSbdh0nlkgdSqlpUOh343brfHyoiYnjipg2oRSfx0XQ78LQ9fOeVyTyiySkLDl7qS7oc6Xb/ABUFHnRdZ0TTdEuz/O4dcqKfERjFrGExX03XQqcSTYDPW1SdhWJbFm7vRaPO7UJx+3WicYsTrclWLe9lm/cfjnv7a1n43vH0vdLNS11InJRgSc9I7Idh101jcy9cixetzQ9HW4kIWVBd0t1lm2BpuHSIeBzE47bRGJnkoBLh+JCLy7DoLktgWU7fHP59IzPWmRXkciWpOVQUeIjGrdpae/ErWtwqjnGU6t3dTmX6PNXjObjg00EfO7UuNFI9WL0ujjdGsfjkmQ0HElCyoKzl+o0UseQa0rh97kJx0wc58zo8rp1Kkv8xBIWLaE4lp2qI+pNMurrBoWzj0vv7ih0IfpL08CyHWJJG7/HoK4hgttlEEuYtEVN7Pal6UjcQtPg6ikVLPpcFaWFXk40RmiLmRQVeCgKeEhaNqeaoxQHPEP8U4nBIgkpCzqWxbT2WUhb1Ey3A+pYttO1VAGfruv4PAan2+KYlpPqydV+WmVP+rNBQXYVicGSNB2iCZOk6eAoxbXTRvHKlkNE4hbRszqNuF0at86ZwOevGJN+bMHV43n7oxMYukZbJEk0YcmHpWFuSBLS008/zV/+8hcA5s+fz3e+852hCCNjzjcreWXzQdbvOEY0YaG1kj72IeBzEU/a6d1DkFqm8HvdJJI2p05H08sRuq5RFHCfc4BYd/q7QUF2FYlMcZQibtrE4hZW+weqvbXNvL2rjsbWOAkzVePTwWVolAS9oMHHB5vSCcnjNph9+RhKC738adsR2iJJ+bA0AmQ9IW3dupXNmzfz8ssvo2kaDzzwABs2bGDx4sXZDiUjzjcr2f7JSbbvqUdDS3dMMHQNn8cgHOv66TDodxEMeGgJJYgn7S5/5ziKWMLq1adC2aAghobCtFPv03jSxnFUOgmdao4RT1joho5pOelnGDoUB73p4nClFM2hBC5doyCQ6sytAVdcUs4Vlwx8K7fID1lPSJWVlXzve9/D40mtA0+aNIm6urpsh5Ex55uVvPNZffssJzXVKfC7MC2nSzLSNCgv9qEU1DfHutxH6ixhOr36VCgbFEQ2KRQJ0yEatzAtOz2r31vbzCtbDqFpWqoJqgK7PRkZemqZQIP04ZEAmq4x+aISyop96R11YuTJekKaMmVK+s+HDx/mL3/5C//93//d6+eXlwcHIywqKwt7/qZunA4nKfS7upw+mWo7kvqz26Xj97oIRZNddgW5DY2yYj/RuNll+3d/4uv4u6/cPI3fvLQb23FSidG0QaUe7+/PN5hyMabeyoXYh2IsOI4iYVrEEzaxpIXu1gm6u/4zsuXPezAth0jc6vKed+kaYysCxJI2Ta1xbMfB5zbw+VK1RHdcP5HRo4oGJe5cJ7GnDNmmhv379/Pggw/yne98h4svvrjXz2tqCp93JtFfA6nlKQt6zpmVnG5fIgv6XTgK2iLJLs8p8LkoLEgdwpc4a4muO7qmnTe+zrFPqAhwz6LJ59zPmlARGFCt0mAYaP3UUOop9mz945LNsWA77feGEqmdcd1tubYdh517Gqg53tL1XCINUo23FXb7qt2oEj8VRT5sR6U7cVeV9/99OpzfT7nsQrH3ZxwMSUJ67733+J//83/y/e9/n9tvv30oQsiY7rZNa7pGWZGX1nCyy8YFSLUAcrl0Gppj5/zd+cy5rLLX8cgGBZEpmpZa8o0lUjMi5zyFP45SfHLoNBt2HO1yv7LA58JlaIRiZuoeqqGRtGxAsWLBZK6aUplawhOiXdYT0okTJ3jooYd48sknmTt3brYvn3Gdt003tcWpHhUknkhVoHdm6FBe7CdpOjQ0n3umUYeODRAd5l4+ir+788pBiV2I7nS08InGLZKd7g11Z/+xFta/e5TjjalziTQNJo4rorElhttt4G7vOh9LWHhcBmNK/dw8u5rpE8vTryvNfUWHrCekZ555hkQiwRNPPJF+7J577uHee+/NdigZM2NSBYah8Zd3atld04TZqQ+droHbnTqtsi2STNdfaKS2O2ikzjQaVeonGrf46T984bzX6W7gLsrjtWeROzQNLMuhNZSgqTWG1cPs/Vh9mHU7aqk53pZ+7LIJpdw8q4rRZYH0LrvmUILKYh/zrx7PzMkVBP1udE1j14FGXnzzAHVN0fTsqazQK819R7isJ6RHH32URx99NNuXHVTrdxxh7fajtIST5/yd35va0n26NU6y07ZX1em/RQWeHnfDnW97eXFxgAkVPdcoCXE+ifa6oaTlUGIYF0xGDS0xNuw4yseHTqcfu2RsIbfMrqZ69JkPR1OrS5laXQqkil4LA95077ndNY387k+fddn0YNuKprYEFcW+9NlgkpBGHunUMAAK+HB/Ay9tOtQl2XQoKvDg8xg0tpz/fpHbpaeOGe+hAv3FNw+k70m5XDpFATeGofPSWwd4eEXvT8QUQtPAtB3iSZt43OpxNgTQGk6w8f3jvLe3Pr2kPLY8wM2zup5LdPZ1Aj43hX43QDr5rN1eSzxppwrFO32/chRtkSSjSv1SOzdCSULqB01L1QbVHG/lN6980m0yKi30YhgajS2xVN86ug4+TQNXe5ugkoLuj4/osLumkbqmKLqeKrK1bYfToQSlQQ/1p6PdPkeI7igUzaEkSfPC94Y6ROMWmz48zrZPTqaPRCkr9LJ4VhXTJ5Wft2aoY1bkcZ17LERjaxzbUejame4lHePDsh2pnRvBJCH1ke0owrEkb+86watbD3epPofUPaOyYh+OA40tqU95LkND1zRsJ3X+kQL8Hhcr77y8V8sSa7fXpo8k17TU4HWUoi1iMvViuYckek8pME2nx2SUtGy2fnSSv+6qS3cPCfrdLLxmPLOmjTrv+UMds6Kg30Wqt/25Kop9tEWSOCqVlGx15sOarvW8WiCGL0lIvaRI7RSqb4nx0ls16TV0Q9fwenSicRuXoVFenOrS3VF71F6YjtO+hUHXFQV+D//jtmm9XiNvbI1THEzVLTlKS7+m5TgsWzB5kH5iMRLZtsP2T0+x8f1j6YJtr9vghpnj+ML0MV3q7c7mcmkUnWdW1NmSOdXpe0ipI1lUanRoMKrUz4oFk+T+0QglCakXTNshFDXZW9vMCxsP0NqebK68pIwrJ5ax7t1abBtKi87spNPb2wIlkjZFATenmuNommJ0WUGfB1xHS6CyotQnS8t2MHSNUaUBrr1sdN4W1Ync4SjFxwdPs/H9Y9S3lyW4DI3PXzGGBVeNI+Bzn/Ocjp10bdEkF48pYsHV46ko8vd4rRmTKvgft1/Gi28e4FRzHJcBo8sCkoiEJKQLUSjCMYtQJMHr7x1n0wfHUaQ2Iiz9wsV8bmolmqZR4HPzxnvHONkcQylFZYmPgM9NwrQZV+HjO/ddM6A4OopvDUNnVKk/fWbRigWTMvODihFLKcWB462se/codZ1qia65tJJFn7so1Ym7Gx396gr8bsaPKqSxLc5/rd3DVxdf2qukIgXcojuSkLqliJsO4WiS+uYYz288wNH6MADjKgr4yo2TqSxJfRI0dI1Zl42mqMDN/1ufShoel07CtDO2Fi5nFonBcKw+zNp3azlYd6aW6KpLK5k/cyyjSy9cSrDloxNUlPhTpx2392mU7dpioCQhncVyFOFokkTS5v39Dbyy+XD6/JbrZ4xl8ayq9A1dl6FRUujDpWtMn1jBVxcPXtKQT5QiU+qbY6zbUcsn3dQSXXXZGE6fjlzw+bqu4TJ0FIqW0JmOJHLUiRgoSUjtHKWIxC1icYtowuSVzYf58EAjAIUBN3ctmMzki4rT3+9x6ZQEveidenFJ0hC5LBRNsvqtGrZ8dCK9y25seYBbZlcz5aLibmuJzuZxGxQVeDAMjaY2OepEZJYkJBShaJLTrXEsR1F7KsTzGw/Q3P7Jb1p1KcvmTyToP3NT1+dJDUo5t0Xkk/9+fT/vfHoKgLIiL4uvvXAtUWdnF7kuvrbqnKbCsl1bDNSIT0hJU5GMJElaDm99eJyN7x3DUanluFs/P4HPXz66yyfHgM9Fod+D5CKRb664pIxTzVFmTKrg2mmVGPqFt2d30HWN4gJPl9mQ3NcUg2HEJyRInV/0f177lMMnU9unR5f6+cqiKYwpO3NjV9OgwO8m6JNfmchP86aPZe6VY2hsiZ/3KImzeVw6RUEvrm6OiZAlapFpI/5f1/f21fPs+n1EE6ku3HOvGMOSOdW4OxX3aRoUFngo8Lp61W5FiHynaanGwIUB93k7LgiRaSM6Ia1+6wB/eacWSB0mtnzBJKa1dyjuoOsaJQUePG5DkpEYEXRNoyjowe+R97zIrhGbkJRS/PXDOgAuv6SML867mMKAp8v3GLpGcbDnVihCDBeGnuo44jZ0SUYi60ZsQtI0jX+6eyZNrQlmTBtFS3PXrtmda4yEGAn8XhcVJQGae6hDEmKwjNiEBDBpXDFVlQ5nb5lzuzRKC72yrVuMCJoGwYCHAq9x3i7eQmTDkLz7Xn31VW677TZuvvlmnn322aEI4by8boPSQh+6JgNTDH8uXaM06KXA6wLZvCCGWNZnSKdOneLJJ5/kpZdewuPxcM899zBnzhwmTx76YxR8XoPiAo/sKhIjgs9rUOj3YMiytMgRWZ8GbN26lc9//vOUlJQQCAS45ZZbWLt2bbbDOEfA56K4wCvJSAx7uq5RHPRQUiDJSOSWrM+Q6uvrqaysTH89atQodu/e3evnl5cHMxpPNG5img7jKgp61csrF1VW5uepsfkaN+RG7P0ZC7btUFISwOs5/9DPhZ+tP/I1bpDYO2Q9ITmO0+UffqVUnxJBU1MYx8ncflSFYlRlUd4ecldZWZiXsedr3NBz7Nn6xyXTYwHy9/9LvsYNwzf2/oyDrC/ZjRkzhoaGhvTXDQ0NjBo1KtthpMkSnRBC5IasJ6QvfOELbNu2jdOnTxOLxVi/fj033HBDtsMQQgiRY7K+ZDd69Ggefvhhvva1r2GaJitWrGDGjBnZDkMIIUSOGZLC2KVLl7J06dKhuLQQQogcJdWfQgghcoIkJCGEEDlBEpIQQoicIAlJCCFETpCEJIQQIidIQhJCCJETJCEJIYTICZKQhBBC5ARJSEIIIXKCJCQhhBA5QRKSEEKInCAJSQghRE6QhCSEECInSEISQgiREyQhCSGEyAmSkIQQQuSEITmgbyB0Xcur182GfI09X+OG3IhdxkJX+Ro3SOwdNKWUytirCSGEEP0kS3ZCCCFygiQkIYQQOUESkhBCiJwgCUkIIUROkIQkhBAiJ0hCEkIIkRMkIQkhhMgJkpCEEELkBElIQgghcoIkJCGEEDlBEpIQQoicIAlJCCFETpCEJIQQIidIQhJCCJETJCEJIYTICZKQhBBC5ARJSEIIIXKCJCQhhBA5QRJSnli7di33339/1q/74Ycfcv/997N06VLuuOMOHnjgAfbv39/j83bv3s2//uu/ZiFCMVLk2xgQfeca6gBE7komkzz44IP87ne/44orrgBgzZo1/N3f/R1vvPEGhmGc97kHDhzg1KlT2QpViEExkDEg+k4SUg576qmnePXVVykpKWHChAnpxw8dOsQPfvADIpEIDQ0NTJs2jV/84hesW7eO5557jt///vcA1NXVcffdd7Nx40Y8Hk/6+T/60Y/YsWNHl2t5PB5Wr17d5bFYLEYoFCIajaYfu/POOwkGg9i2jaZp/PjHP2bXrl1EIhGUUvzoRz9i3Lhx/Pu//zuhUIh/+Zd/4d/+7d8G49cjRoBcHwM7d+7khz/8Ia+99hoA27dvT3/9y1/+kuPHj9PQ0MDx48cZPXo0P/vZzxg1alTGf0/DhhI5acOGDeq2225ToVBImaapVq5cqf7mb/5GKaXUE088of74xz8qpZRKJpPqjjvuUGvXrlWJRELNnTtX7du3Tyml1C9+8Qv185//fEBx/O53v1MzZsxQN954o/r2t7+tVq9eraLRqFJKqffff19985vfVLZtK6WU+s1vfqMefPBBpZRSf/jDH9TKlSsHdG0xsuXDGHjnnXfU7bffnv7ezl//+7//u1q0aJEKhUJKKaUefPBB9dRTTw0oluFOZkg5atu2bSxevJhgMAjA8uXLWbVqFQCPPPIIW7Zs4be//S2HDx+mvr6eaDSKx+PhrrvuYvXq1Xz3u9/l5ZdfTj+ns95+OgT4xje+wV133cWOHTvYsWMHv/3tb/ntb3/Liy++yNVXX01xcTG///3vOXr0KNu3b6egoGAQfhtiJMqHMdCT2bNnp+O//PLLaW1t7fPvYSSRhJTDlFLpP3deq/7Wt76FbdvceuutLFiwgBMnTqS/95577mHFihXMnj2bKVOmUFVVdc7rPvroo726/nvvvccHH3zAAw88wMKFC1m4cCHf+ta3uOOOO9iyZQs+n4/HH3+cb3zjGyxatIiJEyfyyiuvDPCnFuKMXB8DZWVlXWI0TbPL830+X/rPmqZ1+V5xLtlll6NuuOEG1q5dS1tbG47jsGbNmvTfbd68mYceeojbbrsNgF27dmHbNgBjx47lqquu4sc//jH33nvvgGIoKyvjP/7jP9i5c2f6sYaGBsLhMJdeeilbtmxh4cKF3HfffVx55ZW8/vrr6TgMw8CyrAFdX4xs+TAGysrKqKuro6mpCaUUf/rTnwZ0vZFOZkg5av78+ezdu5fly5dTVFTEtGnTaG5uBuDhhx/moYceIhAIEAwGmTVrFrW1tennLlu2jB/+8IfMnz9/QDFccskl/OpXv+LJJ5/k5MmTeL1eCgsL+fGPf8zEiRO55557+Od//meWLl2KZVnMmzeP9evX4zgOV111Fb/61a/4x3/8R55++ukBxSFGpnwYA5CakS1fvpzKykoWLFjARx99NKBrjmSakjnksOI4Dj/4wQ8YN24cK1euHOpwhMg6GQP5S5bshpFwOMycOXM4ceIEX/va14Y6HCGyTsZAfpMZkhBCiJwgMyQhhBA5QRKSEEKInCAJSQghRE7Iu23fTU1hHCezt71KSwM0N0d7/sYclK+x52vc0HPslZWFWYlDxsIZ+Ro3DN/Y+zMOZIYEuFz527E3X2PP17ghv2PvSb7+bPkaN0jsnUlCEkIIkRMkIQkhhMgJkpCEEELkBElIQgghcsKgJqRwOMwdd9zBsWPHANi6dStLly7l5ptv5sknnxzMS4sRbHdNIz997n2+8x9b+elz77O7pnGoQxJC9MKgJaRdu3Zx7733cvjwYQDi8Tjf//73+fWvf82f//xnPv74YzZt2jRYlxcj1O6aRp7dsI+WSJKAz0VLJMmzG/ZJUhIiDwxaQnrhhRd47LHH0ufH7969mwkTJlBVVYXL5WLp0qWsXbt2sC4vRqi122sxDB2v20DTNLxuA8PQWbu9tucnCyGG1KAVxj7++ONdvq6vr6eysjL99ahRozh16lSfX7e8PDjg2LqTrWLGwZCvsQ9G3KfDSQr9LjRNSz/mMjSaw8mMXi8XfucyFrrK17hBYu+QtU4NjuN0+UdCKdXl694ajOr0yspCGhpCGX3NbMnX2Acr7rKgh5ZIEq/7TMFewrQpDXoydr2eYs/nTg3yfsq+4Rp7TndqGDNmDA0NDemvGxoa0st5QmTKkjnV2LZDwrRRSpEwbWzbYcmc6qEOTQjRg6wlpJkzZ3Lo0CGOHDmCbdu89tpr3HDDDdm6vBghZkyq4KuLL6WkwEM0blFS4OGriy9lxqSKoQ5NCNGDrC3Zeb1ennjiCb75zW+SSCSYP38+S5YsydblxQgyY1KFJCAh8tCgJ6SNGzem/zx37lxeeeWVwb6kEEKIPCSdGoToA00D03KGOgwhhiVJSEL0miIUNUma1lAHIsSwlHcH9AkxFBQQiprE4pKMhBgskpCE6IW2SJJYQpKREINJEpLIa7trGlm7vZbG1jgVxT6WzKnO6A47Rynawknipp2x1xRCdE8SkshbHY1UDUPv0kgVyEhSsh1FayRJUpKREFkhmxpE3hrMRqq249ASjksyEiKLJCGJvNXYGsfj6voW9rh0GlvjA3pdy1Y0tyUwrcz2iRNCXJgkJJG3Kop9JM+qCUpaDhXFvn6/ZtJyaA7FsTLctFQI0TNJSCJvZbqRasK0aQklsCUZCTEkZFODyFsdGxcGustO0yCSsAhFkijJRUIMGUlIIq8NvJGqIhSziMRMSUZCDDFJSGLE6ui+EJXuC0LkBElIYkRSKFrDSeJJ2dYtRK6QhCRGHCl4FSI3SUISI4rlKFrCcSypMRIi50hCEiNG0nJoDcu2biFy1ZDUIa1Zs4bbb7+d22+/nZ/85CdDEYIYYeJSYyREzst6QorFYjz++OOsWrWKNWvWsHPnTrZu3ZrtMMQIoWkQTVi0hhM4sq9biJyW9YRk2zaO4xCLxbAsC8uy8Hq92Q5DjAiKUMwkFJWCVyHygaZU9ofqqlWr+NnPfobf72fWrFn88pe/RNO0bIchhjGlFC2hBNFBOFSvJOihwO/J+OsKMdJlfVPDnj17+MMf/sCbb75JYWEh3/72t3nmmWd44IEHevX8pqYwTobvA1RWFtLQEMroa2ZLvsY+mHErBW3RwTvhtSTouWDslZWFg3Lds8lYOCNf44bhG3t/xkHWl+w2b97M3LlzKS8vx+PxsGzZMt59991shyGGKUcpWiOJQUlGB+va+OUfdvPTVTsz/tpCiCGYIU2bNo2f/exnRKNR/H4/GzduZPr06dkOQwyBzseNj60MsujqcRk9bnywCl5Ny2H9u7Vs+fgkkOoK7jgKXZdlZiEyKesJ6brrruPTTz9l2bJluN1upk+fzsqVK7Mdhsiys48bb26LZfS48cEqeD1aH2b1mwfSh/5dVFnAw/ddI8lIiEEwJIWxK1eulCQ0wnQ+bhzA5zawbMXa7bUDTkim7WS8xsiyHTa+f5xNHx5HKdA1jRs/N575V41jfGWQaDiRsQXc6iEAACAASURBVGsJMRwppfq8WU06NYisaGyNE/B1fbtl4rjxpOXQEk5k9Ob+iaYIL75Vw4mmKABjygKsWDCJcRUFGbuGEMNZ3LRpDiUoK+rb6c2SkERWVBT7aIkk0zMkyMBx46ZNSziZsYJX21G8vauON947hu0oNA2unzGOm669CJchhysLcSGaBgnTIRIzSZg2/kDf60slIYmsWDKnmmc37CNBamYUT1oDOm48lrRoy+AJrw0tMV58q4aj9WEAyot93LVgEtWjs7OFW4h8ZjsOkbhFLGENaExKQhJZcfZx4/3dZadpEI5bhDPUfcFRinc+Ocm67UcxbQeAuVeM4ZY5VXhcRg/PFmJks22HSNwkErcysmwuCUlkTefjxvtXDKhoi1pEYyaZmBg1h+K8+NZBDp1oA1IFr8vnT2LS+OIMvLoQw5kibjo0tEQJRc2MvaokJJEXlIJQLDPHjSul2Lm3gT9vO0KivWbp2qmV3DZ3Aj6PDAkhzufs+0Rl7syOFxl9IucpUgWvmThuvC2S5OW/HmTv0RYACv1uvjx/ItOqSwf82kIMZ7ajiMTNAd8nuhBJSCKnOUrREh549wWlFLtrmnhlyyFiidRrzZhUzp3zLibgc2ciVCGGJYUiGrcydp/oQiQhiZxlO6kaI/MC3Rf21jbz9q46mkMJSgu9XD9zHFPPmu1E4iZrNh/i44OnAQh4Xdx53SXMmFQ+qPELkd9S94nC0SSWnZ1DISQhiZxk2g6toQTWBT6R7a1t5pUthzAMHZ/XRVvM5JUth7gT0knps8OneentQ0RiqRuv06pL+fINl1AYkOMjhOjO2feJskkSksg5SdOhJdJz94W3d9VhGHp6e7bHZZBsf3zCmEJe23qE9/c1AOB1G9zxhQlcc2mlnL0lxHlk4z7RhUhCEl26cFcU+1gypzqjXbj7Im7atIYTvRoMzaEEPm/Xt7Db0KlvjvHU6t20RpIATBpfxPL5kygJysnEI00uvbdzXSRhEYmZg36f6EIkIY1wZ3fhbokkM9qFu7c0DSJxq0/HjZcWemmLmekZktN+SmzHbjy3S2fJnGrmXD4aXWZFI06uvLdzmyJhOoRiyYx3yu8PadA1wnXuwq1pGl63gWHorN1em8UoFKGoSaiPrYCunzkO23ZIWjaJpEV9cyydjKpHB/nm8unMvWKMJKMRKjfe27nLshUtoSQtoUROJCOQGdKIN1hduHtLAaFo/wpep1aXcrvt8OrWw7RGUpsWdE3j5llVXDdjrJxZNMIN9Xs7Vw31faILkYQ0wg1GF+7eShe8Jvq3k+d4Q5j1O4+lk9G48gArFk5mTFkgk2GKPDWU7+1clQv3iS5EluxGuCVzqrFth4Rpo5QiYdoD6sLdW6bl0BzqXzKyHYc33jvGf/zxE+qbY+ga3HjNeP7hy1dKMhJpQ/Xezj2KuGnT2BojFElmJRnZjtOv5w3JDGnjxo08/fTTxGIx5s2bx6OPPjoUYQjO7cKdjZ1ItuNwujXWr+4Lp05HefGtGo43RgCoLPFz18JJXFQZzHSYIs8NxXs7l2haakYYjmavnqi+JcbOPfW8v6+BXz1yY5+fn/WEdPToUR577DFWr15NeXk5X//619m0aRPz58/PdiiiXecu3IMtdSM1QVFJ3452cBzFlo9OsGHnUSxboQHzZoxl8bVVuF0y0RfdG4z3dj5sJc/mfSLTcvj4UBM7Pqvn8Mm+dvDvKusJacOGDdx2222MGTMGgCeffBKvV+pDcsFgD7TeFryerak1zotv1XDkVOrNXlboZfmCSVwytihjsQnRG/mwlTxb94lOno6y4b1jbPvo/2/vzaPkqq7738+5U009j5qnFhoASwySJRkDAtkMlgVGllfABpyH/QJ5XvEzKwkel9f6/ZaXg1lZwfnFvyT+JbZXnofEAYMDBmRsDERIQkggaAOSQK2hkbqlnsea7nDeH7eqVNXzpO6q7vP5S6qqe++p6nvuPnufvb+7OUf4uLw4wNWrqyd0zmk3SKdPn8Y0TR544AGam5vZunUrX/nKV6Z7GIoBXOyJNp6C1zRSSg4cOc9zrzZiO35M+sNra7h189KcjWqFYrrITiUHXwEkkXp9Zg1SSnfuItcTJWyXPza0c/BoS6a7MoCuCdYuK2fjmhrqFpZOuNRi2g2S67ocOnSIn/70p4TDYf78z/+cJ598kp07d47p+MrKi7NXUF1duK2qp2LsLzxeT8DSM/2ALFMnnnR44XAT2zYvn9S5e/oSJLEpL8+93SoqIsMe09ET52fPHuHIKV8Qtaw4wL2fWMuly/NDEDUf7hc1F3KZjnF39CUpDhk58lOGLujsS07q+pM5Np5w6OlPouFRMsX9icBfGJ4+18srb57l4JHzJLK8odqKMNesX8Dmy+dTEpm8PuS0G6Sqqiq2bNlCRUUFAB/72Meor68fs0Fqb++bcld0Yt1L84OpGntzax/hoJHxRMCv6Wlu7ZvE+SV9MT98MPAvVlERoaOjf/ARUnL4/Tae3nsqsxF75SVVfPIjywgFjCGPmW7KiqwRf5PpeqCruXCB4cY91WHoiiJrUCp5wnYpH+WemMjYR+Ni7xPFEg5vHm/j0NEWmtujmdcNXXD58ko2rKnh6svm0dkZxUnYdCRyO8fOrx1/SH3aDdINN9zAV7/6VXp6eohEIuzZs4dt27ZN9zAUA5jqmo2JFLz2RpP8es9JjpzuBCASMrnj2uVcuqxiQmNQzG2mKgydbdSCppa5py1DI+l4M5JKfrH2iaSUnD7fy8EjLbx9ogPbvbBArS0PsXFtDVesrM4UHE+1UPG0G6T169fzxS9+kc9+9rPYts0111zDpz/96ekehmIAt2xaws9/9x4JJj/RJlLw+scT7fzXnpNEE/5kv2xZBbdfu5yikGqep5gYU7HfM9CoJR0PpMTQBNG4M81Zdhdvn6g/bnP4vTYOHm2htSuWed00NNbVVbJxTQ2La4ouulL+jNQh7dq1i127ds3EpRXDMFU1G56UdPclx1z3EI07PLX3JPUN7QAELZ3bPrqc9XWVqk2EYlJMhXTQUEYNoChk8j+/sGnqBjsCF6ueyJOSE009HDzSwrunOnCzvK2FVRE2rKlh/crKzL7ydKCkgxQZJluz4UlffSF7H2okjjV28sR/n6A36seeVy0u5Y7r6iidgs3Ri4GhCYJBA8s0iJKY6eEoRmEqwtAzrYd3MfaJeqJJ3jjWyqGjLXT0XriPA6bOFZdUsXFNDQuqhk84upgog6SYEtIFryN1eE2TSLr89Lkj7H2rCQDL1Ni+eSkb1tTknVekpVSiQwEd09QRoApxC4SpCEPPpB7eVO4TeZ7k/TNdHDzawtHTnWSfcmltMRvWVPOhFZVYM1xOoQySYtIkHY/uvkSOyz8cJ5q6+dXLJ+hMrcyWzy/m09fXUVGSP4KXQviZRKGAScDUMXSRd6rIitGZijD0eIza1GT0Te0+UVdfgtdT3lC6YSVAOGBw5aoqNqypobY8f/QflUGaQ1wMJYa47dLTl8Qb5YltOx6/fa2RfW+fA3wv46aNi9lyef70K9I0QTBVi2VleUHKGI2NfJTUmUwYOv19EkkXx3XQdcHCqsiQ32uyGX1CQML26I9Nfp/I9TyOnva9offPdOXcvysWlLBxTQ2XLa/A0PPP01cGaY4w1UoM4+nw+kFLL4+92JCJuy+qjvDFT30IKw/skBBgGn5ILmDqeWMcC41CkNQZD/UNbfz42aPEEw6u56FrGoZhDGtkJ5PRl7RduvqSxJOT2ydq74n7wqbHWumNXagJKgqZXL26mg2ra6jM89YbyiDNER5/qYHulCdj6BolESvTPXOkCTP0qreS3phDf3RwwWs2juvxh9fP8PJbTUjpy4vceNUirrtiAdWVQxfGTheaJggFDIKWjqkLQBmiyTDTkjqHjpznl88f9WuFLB2kH/qaqKf2+EsN9MeSCKGhaxqehP5YksdfahjyXOnkh1hKNcFxPXRNEI3ZQ5zdx5OSaMLB7o4RS4y/QSX4c+ydkx28/GYT5zqiOe+tWlzKhjW1rF1ahq7lnzc0FMogzQHqG9poautHCIGuCRxX0tETp7w4MGK20FCr3l/vOYHrecwfRbamub2fx15syEySeRVhdm2tm7HsHbjgDYWDBgFTQygjNGXMZDZafUMb//HCcRD+37i5vR8QlBdbE/bUzndEAUG66bAmwJUi9fpgqkqDnO+M0RtNpo7z55knXeob2nKuLYFY0iEatXE8iRUcf1ZpS2eMg0fPc/i9tkztHvgLrYCpYRoaWy6bx+ol5eM+90yiDNIcYPeBRgxdy+zzaAI8KejuS7JiwfDyHgNXvVWlQZKOx7P7T/OFT1425DGuJ9nzVhMvvH4G15MIAdetX8C2qxfNWMza0ASBgEHIMjANlaBwMZjJbLTdBxoxDIGuaZzvTSCEBkh6Yw7zKqwJemoCIXJvFD+aO/Qi5pZNS/jfT7yNlKAJ6WexCYgEjcy10/tEvdGxl0Zkk3Rc3j7RwcEjLRnl+zSWoVEU9pNwhBAkHZc9bzXNiEHSNH/hGzDHP9+VQZoDtHXHKYmYdKZCdukp5bhyxBTY9KpXACURC9v16O1PEh8mvNDaFeOxF49zptUPxVWVBtm1tY4ltdMv1ikEWIZOaIA3pIzRxWEqlT7GS1t3nNIiC8eVOK6HJvxFh5N66A/01MaSfFFbHqS5I4aHP18k/r0zr2JoA7uuropgQCdpeziuh2FolIRNQgGDrlQG6kTriZra+jl4tIW3jrfltHmoKA6wYU0NB945Rzhk5pRMmLqWyWS92GiawNI1TFPD1PXU4kBQHBl/WyFlkOYA6dVrRXGAnqiN4/jx7XmVoRFXjVWlQbqjSWrKQsSTqZWd61FenHujeVKy/+1z7D7QmEn9Lgmb3PzhxdNujNLFq/7ekKYM0DQxk91Zq0qD9MVtP/FA13Bc/49upDIlsz21sSZf7LphJT9+5gjxpIvrSXRNEAzo7Lph5bDjWFgVyfESNSEwDMH8yjDtPfFx1RMlkn6o77WjLZxtvbDXqmuCS5dVsHFtDSsWlKAJwfEzXfTEbCzjgnc61DydCoTwx2AZOqapUVkSxMKPhGTPtYnOuzEbpO7ubnRdp6hItYouNNKrV13XqC0PZVavI00ugFs3L+HZVxvp7k+SSLrYrn/ctesXZD7T0RPnVy83cLLZDyFowm8VoWmCZ189jaFrFz1skO0NBbNCRsoYTS/T2Xk4m1s2LeE/XjiOI1yKwyYdPXFAUBwySNhujqc21uSLdXVV3Ld97bgMbLaXWBoxMQyd3v4Ea5bMG5MxklJyprWPg0daqG9o93XzUlSXBdm4ppYrV1URCebqO167fgFP7T1JEt8zGmqeThRNE+i6b4AsU8PQRE6CRDBg0MvUzbVRDdKJEyf467/+a44cOYIQgiuvvJJHHnmEBQsm/2UV08NEV6+rl1TQG7X5w+tniCccyosDXLt+AauXlCOl5NCxVp7Zf4qk7U+cgKVTXuQbI4AkXNQ4tl+8ahBQ3tCcZl1dFaWl4UyW3fzKSCbLrixi5dzr40m+GMrAjhTuW1dXha4JXvnjOVq6oriu5IYrF416//fHbfa9fY5DR1tyMuUMXfChFZVsXFvD0triYVVMVi8p5zb8udbZm8iZp+NBCF+9OxN+M/yicF2bvn3XUQ3S17/+dT7zmc/w6U9/Giklv/zlL/nmN7/JT37yk+kYn2KKGO/qNV3wumJBKSsWlOa8192f5Mn/PsF7H3QBUBw2kZ6kOGJd9Di2pgmCpl+8appaZj9MGaO5zYa1tSytGl1xYDLJF6OF+zzPY3FtMZ8qC416P0opOXXOb/PwzqmOnCSHeRXhVJuHKkKBsQWxVi8pn5AB0oXANHRMS8PS/RR3TZua8NtEGPXbxmIx7rzzzsz/77nnHv7zP//zog5KMZNIogl3yIJXKSVvNbTz1CsnM5ur6+oque2a5fzid8cuWhzbl/LRUunaqnhVMXFu2bSEHz9zhI7u+IW9IUvnzhtHDl/D0OE+WwheqW+mbmEp/TFnVMWSvpjN4fdaOXi0JccrswyNdSt9YdNF1ZEp13QUgNAEhu6nhFumhiEE+hCZrzO5uBvVIK1YsYI33niDq666CoD33nuPRYsWXfSBKcbHaJlDY8kskkBfzCE6RIfXvpjNU6+c5O2TfkvxcMDgto8uZ12d31L8YsSxNSEIWDqhQK6Uj0IxKTIP+1Ru9hgf/gPDfaGATllxgPOd0Yxi/VB4UtJwtpuDR1s4cqozR/NxUXWE669ezMp5xQSsqRM2FcKfP77x0VOGSGQyEPOVUQ1SU1MT99xzD6tXr8YwDN59912qq6vZsWMHAE8//fRFH6RiZEYLJYw1s6i7PzFkU713T3Xw5J6T9KeqztcsKeeO65ZTHL5Q0DdlcWxAN3xh06Cpo2vKG1JMHbsPNBIOGjmee8J2x1SnlA73lUYsQgE/YeJcez+RYcJqPf1JX9j0WEtO6DpoXWjzML8yQkXF5FVL0gbIMnQsS8PUNXRdQ5ui7LfpYlSD9Fd/9VfTMQ7FJBgtc2i094drqhdLOPxm3ykOv9+WOW7HNcu48pKqIUMKE4ljp/ErzHW/eDVrb0ihmEomoyixfctSnnn1NI4nae+OE0s6fgbfhy/UWrme5P0PUm0eGjtzDMCyecVsXFPD5SsqJ93CJB2Cs3QNy9IxDQ1D0wY5e/lugAYyrEFqaGigrq6OSGRoqZfLLhu6Un+sfO9736Ozs5OHH354UueZCwwXbqtvaOPX/3aIU809gJ+VU14cIBw0cybZcJOwPRVH7+5PkhxgjN4/08UTL5/ISNavXFjKzutXUFY0dbUNA9s8KG9IcbGZaFKDJyWLa4vZctk8Xj58lr5oMicK0Nmb4NCxFl4/1kpPdpuHoMFVq6rZsKaGmrLQpMaupfaAAqkMuEIIwY2XYQ3SI488wg9/+EM+85nPMH/+fGTWt47FYuzfv3/CF92/fz9PPvkkW7dunfA5Zgtj2fsZKtx2qrmHPxxuyoTRwFdeaOuOUwXoupaZZENNQseVrFhQQmdfPKfvSjp8ceDd84DfJuKWTUvYdGntlCUT+JlyBuXFQbU3NMuZipYUEz3HUMela4W6Ew6xhF9bp2uCzWtrhjyHJyWxhEN/3MHzJJcsKuOSRWWA3+bhyKlOfvLsEY6f6c7Zd125sJQNa2q4dFk5hq5xrLGTp/acGFc4WxN+DVDA0rGyFBAKKQQ3XoY1SN/73vfo6uqirq6On/70p0gpEUJg2zZ33333hC/Y1dXFo48+ygMPPMDRo0cnfJ7ZwFj2doYLtz1/8Iwvk6IJhCBTnY6E7r4kpUVWphhwoKyLJ6EkYvKhusocY3TqXA+Pv9iQaWu8pLaIz2xdOSWS9elMuXTxamVZkFZ7+I1gReEzFS0pxnuOtBE629ZPPOFSFDYpDpuZ4z738VVcc/k8ntnfiCc9TF0jHDTZ+/Y5ls0vyTlnNOkr2g9sPNnWHePQ0RZef68tZ0FYHDa5OuUNZTecPNbYyVN7T6LrGsGAQU/M5qm9J7kNcoySEPgGyDRSRajaoOaQs80ADWRYg/SXf/mX7N27FyEEW7Zsybyu6zo333zzhC/47W9/mwcffJDm5uYJn2O2MJaq8eHCbfGkk3nISwSG7hslX3NL8rmPr8op2Etfrydqs6QmwqXLKzL1Rbbj8ftDH/BKfTMSXxrk4xsX89EPzc8UuU4UlSk3d5mKlhTjOUe28UraHp6U9EaTmIbmJyGkjgOoLAvmRAwStsvzr/nnjCb9TNPMIg9/jrxzyhc2PZkKkYNvRFYtLmPjmhpWLykfMuy8560mdF3LlERYhk4S2Pd2M2uXVRAw/Ww9IxWSy2a2G6CBDGuQfvSjHwF+Yezf/M3fTMnFHnvsMebPn8+WLVt44oknJnSOylHaHkyU6urpFwDt6EtSHDJyEgQMXdDZl8yMZ351EZ09Mfr7k3T3J/HkBT0pv0+L9F17IRBINA1WLa1g2+blOdfaVl3MjZuW0dOfpC9rVXe6uYef/OYdzrX7FeKLa4v5vz55KQuqJ/c7CwEhyyAcMnMmfjYz8ZtPFfkw9nyfC2O5v6fyHC8cbiKQ6vjb1hXzw1tAb9SmJGJh6IJzHTH64zZSSkxDo6woQFHIpCRi4nrgagLDMimxfHmeptY+XnmriQNvN9MfvyAqXFES5Jp18/nIugWUl4wcQeiK2kQCOmZKfscydSxDoy/usKau2jdik9xfmkmmci6MmmU3VcYI4Nlnn6W1tZXbb7+d7u5uotEo3/3ud/nGN74x5nO0t/eNS6RwLFRXF9Pa2jv6B6eYiiJr0N5OwnYpL7Iy49l25QJ++F9vE0teqOSW0veGNCHxPOkrEqfSO0OmwbYrFwz6Pn6NkZ0JMTiux0uHz/LS4bN40teg23rlQm64aiG6JiaUhppO2Q4H/ZRtJ2HTkxg6LDdTv/lUMNrYp8tY5ftcGMv9PRqWLvjgfF9OY0lNE4POUV1dTHNrH+Ggge146LqGm1L+th0X2/Ho6U/SH7cRgCd9r6c/blNabNEfd9AktLb1k7Rd/niinYNHW2g835e5hiYEa5b63tAli8rQNIF0XDo6+jnW2DlkyYOmCZbUREi6ElPTsF2XWMKltStGadiio71v1s6FicyDaVX7zpYbeuKJJ3jttdfGZYxmG2OR7PfTsi8ck/aOZMpTWlxbzNmWXkAwryLIrhtWZkIZ6Xh60vEVEy5fXsHqJeWc64jy+IvHaUp5RTXlIT6ztY6FE/SKhPBDKeGAiTWBHiiK2clkW1LUN7TR05/M9NWyHY/27hiRkDWkskJ28k5J2KSj12/7YOiChO2mst8kEl9+qqTIwvM8Tjf1EgzoXHP5fH695wRvHW/PKYGoLAmyYU01V62qzqm9S5PeIzJ0jZIiCykE+989T1VZkLVLK9h29SJ+9tv3/DTtaW7NUWio9hMzyFhFT23Hw9RFTthCIrEdj3/4qxuGXKHUN7Tx779/n4pSP5Pt9PleGs52UbeglDePt/uTHPjouvl8bMPiCdVFpFs9hCy/EnyuxbsVIzPZlhS7DzQSDvmhs97oBfWQ3v4kP37mCCURKyOiGgmbdHbH6clSTNBSYqEBU8fQBK4niYQMSiMWjuPR0R0n6XhoAkJBg9/sP505VtcEly2v4MNra1g+v2REKZ9DR1soiQQAPyPPdUHT4Jl9p7lsWSWXLavkro9dMmPZhoXEjBmknTt3snPnzpm6fN4wFtHToOVXhetZc8KT/uvZZN+wSdujpjyI40r6YzaaEPTFHF5/zy9yNXRByNI529rHiabuMRe0+tXgGkHV+E4xBibTksKvo5P0DpCySu8L9abu63BQp+NcnIHRS09C2NK5b/taXn7zLK4nsV2P9u44CdvL+VxHj59ZWlMeYuOaGq68pIrwgDYPadLJRJapEzB0uvuTdPYlSNpeJhwopUciq5neZFtzTEXGYiGgPKRpYjKrm5s2LuKpfadwvXT7cd9DWl9XwTf+aS/NrX0ETY2emEM4aFBaZBFLODR3RDF1gZSCnv5kZlIHTL/dsWXow6agDsTQRCZl2zCUN6S4+FSVBjnR1MMgYUVSKnQShObrL2bfj+kOr2bq4X3g3fOc74jR2hllqM7huiZYnxI2XVJbNKQ3lClKtXSChpYzBzp6Ev6CMZVhpwlwpcjJ0pssU5GxWAgogzQNTGZ1U9/QxtHGLj/2bEscKQlZBuvrKjje1EPA0gkHDc61R3E9j7Iii+KwxfmOKNGYA1laVpoAXdMojliDUlCH6luUrbIdtHTlDSmmlVs2LeF/PV4/lD0CMtKoOfejJiAcNAkH/cy8WDzJ4fdbiSeHsET4obVv3nv1oGhDdk1QwBhclJp9TV0X4PhFtGljSOr4qWIykkeFhDJI08BEVzfZhqymPJzZDP3cx1fx+IvH6e5L4kmJrms4rkdx2EJKSXt3DClTEyM1cQKmRjCg4zgSc0Ctw8C+RVpKkj9oGViGAKUsp5gmBkYSKkqCtPfEh1wEpR/+Qvjh61DAb08SSzh09MRH9FAEF0oT0sbIbznue0EBQxtzTdDCqgjnOqLEki6O42EYGiFLZ17F6P2Zxspk+jgVEsogTQPjWd1kT8ho3MEytUwsO23IfvrbY7T3XDAgrudSXhxE16C5rR/D0DP9igAiQYPa8hDXrl/Anrea6InZeJ6kL2ZnUmPnVUZ8cdMBe0MKxXQxVCQhabsELZ2k7SGlzOwT6YJUQo1BaZFJd59NX8xOtS8fjEhZr2ybUhQ2KYsE+M8X3yee9CgOm1y/fgGXLqsYcYxpJQjX9TP4SsImnoTy4sBFy6KbbMZioaAM0jQw1tVN9oQUAqIJh2jCl7HXdQ3Pk2iayOkuqWmCypIgtuNlNmadlDEyDcHO61awfmV1znUef/kEsbiNrgmKwyahgImuQVN7H5ctq5wT2TyK/KK+oY3/89S7xG0X09AoCZuZhZiRWht19CYxdEEkZBAOmhi6IJ5waO+K40oGCQSnSyTKigK4nkd3fxIN/I7DAYOykiCO7dLdbyM9SVdfgn/bfTRH5WTgGH/+u/ewHY9owgEJCduPUCAlhiaIxp2LMmcmm7FYKCiDNA2MtLpJP/yb2vpzUlaz8SR4jocQ4GZpzxm6oLI0RH8sSV/sQhW5AKrL/Bt2zdLc1d7qJeVUllgkQwaaJkg6fjZQe3ec//VYPbXloUxyxFRk89Q3tPH4i8c53+lnTNVWhNm1tY5teaB0oMgP0g/6hO0ggETSpTXpYugJqsuCGIbBzq0r2PNmM6fP99DRk6S5PQb4c8BNSWalWT6/mI1rarlseQX/9twRemI2JZEApRELV0I86SI9STJhY3sQSCUxjBZKT4fee6J+ca2mCTwpiCUcyop9xYf/+YVN4/7uLzxeT3Nr36hGZrKZeoWA+c1ilAAAIABJREFUMkjTwHCrG4Cf/+49HFeO2HEyTXYMO2DplBcHMrUUaaxU/LooZA7KFkrXDQVMg4AFSdvDdjy6o8nU5rCkpSuO63l+EkOqhmOi2Tz1DW38+Jkj9MedjJJEc3s/P372KKWlYZZWTV2MXVG4pB/0muarKwQtPSMB5EmJ7bj8f7uPEo05RAc0kEzvE4UCBhtW+8Km1VkyPNs2LOLlt5rRdYHnev7CTUruvmkVP3v+vXElCqRD706qdgn8JArH9SaUYJA2xOnEpNmayj0elEGaJoZa3TzyizfQdY3eaGKYo4amKGQSChq0dEQH1154HuFQMJPOfbuAy5ZXEgn5cj7ghzHSIcT0ag/8dsd+ONBPEw+lOmFONJtn94FG4kk3080SAZ70wyxPvHScB3etG/c5FbOPrr4k5cVWap/HV1VI2C7t3bFUmBpCAXOQMcpmUU0Rt25eCqSaPRo6oYBObfl8ikMWz756mvbuhL8Y3FrHuroqqkobx5UokA69G4ZvONM1R4auTSjBIG2Ig5YvdzRbU7nHgzJIM0hmxeV6w6a2ZqNpUBoJ4HmS1s7Y4PdFOutIUByy0A3B0cYurlu/MOdz2SFEJ+VdCSEpiQTo7k/iuh6Oe8Hrmmg2T1uqAWC2ALIm/D4yLR3RcZ9PMXsQwu+u6rgei6ojtPbE6eiO47geWbceAVMjYXujRhC6+xIYht/sMWjqOW0bLl9RyeUrKgcdM95EgfTnQ5ZOb8xLtaWQhAKBCSUYzJVU7vGgDNIMUd/QRjTu+L2HxlDYY+gaFcUWXf32oM3bNFJCScSiqsw3HvGEw/Ez3YM+lx1CbO+KIwSUFQcIBQyklHT0JFI1F3JS2TxVpUF6+pOZ+gzwV5S6plEzhSmxisJA4oe30vuWjuO3iLhseQVP7T3pCwV7ZMK7QI6iwlAELJ1I0GTVknIqS0KZ+2wstXLjTRTI/ryblWVXWx6aUIJB2uOyZnkq93hQBmkGyI4dJ2xnVO8oEjIJmBqt3UPXY2iaoCjkFwMWh02icQfb8UjY7rA3dzqEmB6LljJAuq4RCRqURKxJZwzdsmlJZg/JQ6bGLgkGLXZuHSyOqZhdpL0g2/V450Q7Lx0+S0tnjKKQOahjqhACO6vJZBpN+F5D2jDJ1GuRkJ+F53kS13XZtnHJhAoVxpsoMJWJBWmPK5500ISYtanc40EZpBlg94FGHNcXYsyq7QZSYTfpG5lIyMDQNWJJN5PSnflc6sOlYYtgQCeRdGjv9sN446lTGGqVeOeNK6dk0q2rq+K+7WszWXZCSGorIuzaWseGtbUjSu6r1PPCQwhfrcBxfeHfRNJvEX7kVEemY6qpa5n9zUXHWnj3dGdOiC77XLXlIW7auJin955C1z3iSTdliAziCT8ztDRscO8ta0a8n/L1XkqP4YXDTWPKspsLKIM0AzS19ft9WYSGkUodFdIjEjT5/pevpb6hjRcPn6WprZ+OnkROC2UtVWJeGrGoKAnQG03S1hVDCEFJyKQsYo174l3MdNKJnHuuCEkWOhL8/UbPN0BJ28X1JFLKHE8+u2OqTEmI9PTb/LG3c8jzCvzEm5s/vITVS8r5/aEzIFzKigPEE44/J1yX+ZWRUdOs8/1eWldXxbbNywu2H9JUowzSDOCnqoqc1NG0GOM7J9t59tXTdPQkBm1uGhoUhy2CQYP+mMPJph50TfiZdtLD9pgVK6y5IiRZaAjh37u26xufZNLFHWB8hqKzN4Fl6vTHbPrjTk7CzFDomh/q2/d2cyobLsjp8720dkYvSGJlizSOgLqXCgtlkGaAocQYg0Gd6tIQuw80crK5N0eNAfzN27KiAEnb5XxHLLMK1RCYhsh00pwNE01lH+UH6eSCpONhOy7xpIvrSrwxqutKKWk834ftenT2Jcd8XV0XVBQF0XWN8mKL5vYopqERtzXclFZcccggPkrCA6h7qdBQBmkGKI1YROM2rocvYVJk4TguTa39OUWu4IcvykuCGLqgqy+R02MFfEWGdJaOlHJWTLS5IiSZj0gpcTwvsweUdDykJ8dUlpCmP25z+L02Dh1roWVAeUIooGOZOt19yZTaAZk9JEMXFIUtwkEdpN9eAgSVqfthXsWFbq0J26UscuH/h46c55fPHx0Urlb3UmGhDNI0k27LHA6aFIVMnFTDsIGGCPzwQllxIKVePHiFqQno6ktQU+6nUM+WiTZXhCTzgUw9kOORcDzcjn7ah8nmHAlPSk429fDakRbePdWRs++5sCrC4poizrX3092fpLw4wPLaIt460YFMFZYWh00Clh/Wi8Ulhq5xc+rvPdr9UN/Qxn+8cBwEg/aJ1L1UWMyIQfrBD37Ac889B8D111/PQw89NBPDmBFefrOJxfOKicdtmjuiROND1xQVhUwiIZOuXr/5VzZpRSAhyKggz6aJNleEJGeCdCac7fh7QYmki+N6eCkDEghZ4zJGvdEkb7zXysGjLTmZoAFT54pLqtiwpoaFVZEhj60pP0P9yQ4EEE86OLZLwNQH/b1Hux92H2hM9SvSMtdO7xM99NmrRjx2IPmakTdXmHaDtG/fPl555RWefPJJhBB88Ytf5He/+x0f//jHp3so00J9QxtP/PcJ+mM2AUunL+YQjdvD9mrRNUF5SQApobUrduFBYemZVhGeBIEfRnE9SXNblNryIHd+fBXgSxK1dccJWn5vmJ7+JCCoLQ+y64aVmfqj4SZePkzKuSAkOR1cUETwDZCddEm64w/DZeN5kvfPdHHwaAtHT3fl7CktrS1mw5pqAqbOq++c4xfPH6O8ODCo7sg0NO64vo51Kyt5Zt9pzsRs+pMOrifp7kvw+EsNnGru4dCxVs53RAFBSdggFDRp646z+0Bj5lwNZ7vxpH/OkohFKGDk7BNl19ztPtDIz55/j6rSxkH39XAZeaeaezja2KWM1DQw7Qapurqar33ta1iWH/+tq6ujqalpuocxLbx9sp0n/vsEjuthu5LO9sHac9kELT9E1xu16Y/lSqWk8iBwPYnnSYRI1WqkFA8Sjsep5h72vn0u077ibFs/UqbSaHVo7ojx42eOcONVCzOfGxjiAPI6TVYxMtkhuKTrF0e7rpyUAUrT1Zfg9WOtvH6sha6sJIVwwODKS6rYsLaG2vIwxxo7M3VHwYCRqTu6DbhseQVFYYuAqfPHrHYOfTE745l5wJnWfs609gOpUgck7b1JRF8ysy/042ePgpQIIdDwjW5HT5yKkiCaJnLC12NJ/x4qI6874fDM/kYqy4JqPkwD026QLrnkksy/T506xXPPPce///u/T/cwLjqu57HnrWa6+xL0xZycmPpQpFd27d3xwRl2pgYIwgED15UkbNfv85KSvLcdjwTw/MEzlBT5k/18b+JCvW1K3NRDEk+6OZ/zz38hxAGoNNkCIy3JYzseyZQH5I1yv40V1/M41tjFwSMtvHemKyect2JBCRvX1HDZ8oqc7qrZdUeA3wI8aHK0sZPrr7igq5jdziHbWg4cuSezehZL6I3a1FaE6Uh5QKVFVqrjsZ952tWboLTIyglfjyX9e6iMvFjCxZOemg/TxIwlNbz//vvcf//9PPTQQyxbtmzMx1VWFl2U8VRPUX+eRMKhL+Zg2w4NzT30Ru1BbSCy0TRBeXEAIaC1c7AHVV4cIGBqtPckKIoEqa0I03iuh6rSYOa8pqFh6IKWzhjzgwZC+DVN6VNJSWoV6e8fxG0387k0hi7o7EsigeLQ0O9N1W+UZqrPN53kw9gDYYt4wsV2XKSuY+g6RsBksiqBFRURWjuj7K1vYl99cyrk61McNvnIugV8ZN2CjHc+kK6oTSTgty8JBQyKwxaO6/JBS3/O79bRl6Q4ZNDWFRvRe8vWMvGNr8Q0NNxUpKC0KICha3T1JbAdX6j4/9l1BRvW1g661kj39fzqIjp7YhlVfPANvWnomIY27HFTQT7cTxNlKsc+Iwbp9ddf58tf/jLf+MY32L59+7iObW/vm7LVX5rq6uJJVUpL/G6VsbhDwnEzq8iysElnT3zY8VqGRnlJkGjczqgZpxt/IaCiOABAa1ccXRMETY3WzijRmEM7cUqLApmWEQnbJWjq9McdAim1Y9dNq3+Tav8s0YTAMrTM59IkbJfyIj+MOjBNNv3eVFaTT/Y3n0lGG/t0PVzONHUP8qYng+N6NLZFefFQIw1nezKvC+CSxaVsWFPL2qVlqeQBSUdH/5DnKQubJF2P8mJ/L7SzN86Zlj4StseOv/wvNCHYtLaaiiKLrlQ3ZNd1xxRSFPgGwXY89FRlue14REImlqln0sGXVoVz/kbpa410X2+7ckGmP1k6I0/TfKOa/TtP9XyYrXNhIvNg2g1Sc3MzX/rSl3j00UfZsmXLdF9+yhCpxlxx2yOWsHGcwdNpxcJSTjQP/ccKBYxMqCFdW5RSBcL1ZEo+X9LTbwOSsuJgpmFeUdikL2YTDBgYukjtE3jctHERe98+RwJ/JZuwUxZJ+p6RlBAM6Jk9pOFSYVWa7NyipTPGwaPnOfxem9+aO0VpxOLq1dVcvbqG8tTiaDSEgFu3LOX3hz6gq9fPujvfEc1R7fakZP+7LaxZXIrreoQs3VewH8Yi5bwsLtzbwYAB0g9hZ8+Doe7VsaR/D5XNt3ltjT9XbFfNh2lg2g3Sj370IxKJBA8//HDmtTvvvJO77rpruocyISRg2x7RhE3S9oasWk/YLs+9eprXjrQMeY70flFbVxzX9Vd6ZUUWtisJBw1c16O7L0lHTwIhBBUlwUyzPPAnpOt6lEUsOvuSlKfi5evqqlg2vyQzoRZWRXKy7OZVXMiyy/7cUJlDM51lp7i4JB2Xt090cPBIC6fPX1g0aUKwekkZG9fWsGpRme+tjwEh/P2VSMhkXkUYU9cy99BwLSTeO9PDl3d9yG/n4MkLKegylcgg/QQHf1xQXmQRCprEk74XdOeNvmL87gONg+bBQMZaSjBUdudoc0UxdQgpx1sCN7PMRMgureEVt90hvaFjjZ3seauJzt4EwYBOV2+SWHJwfZEmSHk6ELY0/scXNmfee+QXbwwZUujpS+YkIKRfL4tYPPTZqybk7udDWvdsDVOk358Ojja0jjtk19TWz8GjLbx1vI141j1aXhxg45oabvzwUjzbGeEMg7FMnaJUi5SBT5P6hja+/1j9sMf++Gs3DnrtqVdO8NTeU5n9VEP3E3ru27522Pt0Nt9P+UzBh+wKibQ3FEs4JGx3SG8oneKqaX4/k+E0uwxdUFkayngsdsSivqFtxAwfy9DQdYHrelMWQst39WPF1JNIutQ3tPHa0RbOtl7Y99E1waXLytm4tpYVC0rQhJ+52dExNoNkGIKikJVJAhhqaZtdLzQQbZhkn0NHWxBCYGgXEhr64w6Pv3hc3aOzHGWQhsD1/Lh0NGHjOiPXb+x5qwlPQm9fMqfY1TBExpNK1xd19yWJJRzfQwoaOamjw2luLayKcMumJVPm0Sj147mBlJIzrb43VN/QRjIrbFZVGmTj2hquvKSaopA57nMbmiAcNgmZBiMkkAK+R5bdATabTWurhzzG7511wWAJwENyvrPwdRoVI6MMUhZJJ8sbGkNY0HE9mtr6c1SHhfCb56WNUSTka9Zl1xeJVKZbthDqSJuuU6laoNSPZzexhMOb77dx8GgL5zqimdcNXfChFZVsWFPDsnnFI5YiDIemCSJBg3DQQIyhP2t9QxuxpIsmfF2R7ClVEjb5v2+7fJgjUy0tsi7hly4U1O6CYgLMeYPkSUlvf4L2nphfuzPGe/5cR5THXzyeMUaG7oc7evqTmdVoScQiaOk5EkDgh0oGCqFOl37bZNWP82H/SZGLlJJT53o5dLSFP55oz/HU51WE2bimhisuqcpJjBkPmhCEggaRoDFsmG0odh9oJBI06I3ZaEKgQyphQXDf9rXDHldbEaa5vR9P+j3D/KnjdxtWzG7mrEFKOh7xpONn7AgNe4i07aHwPMme+iZ+f+hMRn0hYGoUhU1MXSNo6SRtj8qSIELz9egGGjnH9WjvitMfs3nkF2/keEEX++E+GfVjtf+UX0QTDq++fY6DR1tyPFzL0Fi3soqNa2pYVB2ZkDcEvrcfCviGKC1cOh7auuOURCxMw1djcBwPQ9ewTG3E+2XX1jp+/OxR4gkH1/PQNY1g0GLX1roJfQ9F4TBnDFK6biiRStl2R/GGsjPn0uKQlaVBHn+pgcbzfQBUlATYtLaGN95rpb3bly6pKgtRErZI2i4tXf5DIrvSHPzwg+N5JG3BuY7otD7UJ+OJqf2n/OKff/02ze0XwnKLqiNsXFPDuroqApY+wpEjk07hLgpZmIYYdyuKNGlvPBw0CQf9vaqBfYyGYl1dFfd9Yk3mHg1aOkg5rCiqYvYwJwxSwnaJJZxh64YGMlAcsjua5D9fPE7S9jJe0eZL/cyk5w6cRtc1qstDeFJSUhQAKXE8SdDScVyZCjv4x6XDKYYmcD2P3phHccic1of6RD0xtf+UX7ipe+yKlVVsXFvD/MrJh7QMTVBeFCBg6X678Els20zGG89W6FZe+dxhVhokIXw5kbjtEo87OOOsW8oWh3Rcj96ondkXKo1YfPr6OlYuKuVfn34n8znT0CgvCdDVm8BJVYyHAgY9/Qlc6UsBpQMnhi4Qwt8W9qQklnAL4qGuum/mF7duXsry+cUZEdPJYOiCSMikujxMe3vfpAxRmqnYF1Ve+dxiVhkkLyUjEksLTk5wUnX2JghYOtG4TXd/MnMey9D4fz+zjqBlZD4XDBgELZ3SogC90SSeJ4nbHnfftMqvQHc9HFei64J4wsHQBdnpQwKw3cJ4qKvum/nF5csrJq1lpwlBOOTvEwnEmJUZxspk90WVVz63mFUGqTdqE0uMr8p8KIrDJuc6Ypm24poQRMIG1SXBjDECv7rdkZKSiEV3XwLXkxmPYaiJ+Mgv3uB8Z8w3XFkZRLomCuKhrjq5zh4EftPHorCFMcVGaCpRXvncYlYZpEl3IAPqG9o533nBGAUtnXDQQErJtesX5Hz24xsX89KbTbR0xjB0MarHkPYwisNWqmushyY0tm8unIe66uRa+Bi6oDhsZfps5TPKK59bzC6DNAmicZun9p6ivqEd8FO5SyMWtuOLmA5swRwwdTaurSUUMMbsMeR6GEJ5GIppZWB4rhBQXvncQhkkoP54Gz995l16U23DVy8u447rVlAyTHpqMKBTFvHl+MfrMSgPQzHdCAFBy6AoNLF6oplGzZm5w5w2SPGkwzP7T/P6sVYALFNj+5ZlbFhdPWwxYTjod8BUKPIdga/EHRlGiVuhyDfmrEFqONvNr15uoCulzr1iQQmfvn4F5cVDb5YKAUUhk0hwzv5kigLCTClxp/eJlDFSFAJz7umadFx+e+AD9r9zDvA3eHfecAnrlpcPq9MlRKqpnjXnfi5FgaFrgsgYlbgVinxjTj1hG8/38thLDbSnahgW1xSxa2sdq1dU0dHRP+QxmiYoi1hY5uSLDxWKi4Xf0sQctwCqQpFPzAmD5Lgevz90hj31TchU3c+2qxdx7foF6CPUYBiaoLQ4gKkX3kawYm6Q3icqDlupomuFonCZEYP09NNP80//9E84jsPnP/95Pve5z120azW19fPYi8c53xkDYH5lmF1b60bV/TINQVlRoCCzkhRzA1/uJ0CwAOqJFIqxMO0G6fz58zz66KM88cQTWJbFnXfeyaZNm1i5cuWUXsf1JC+/eZY/vH4WT/oCp9dfsZAbrlqIMYrHY5k6ZUWWCn0o8pqy4gBycspBCkVeMe3L/3379rF582bKysoIh8PcfPPN7N69e0qv0dIZ44f/9Ta/P3QGT0qqSoPcf/vlfHzj4lGNUdDSKS9WxkiR/xRKcatCMVam3UNqaWmhuro68/+amhrq6+vHfHxlZdGw70k9yt79p/j1yw04rocAbtiwmE9dXzdqUkJFRYSAqVNeEhxxXykfqa4unukhTIhCHTfkx9hHmguTIR++20Qo1HGDGnuaaTdInuflFJ1KKcfV0bK9vS+nHXials4o/+fpdznR1AP4wqefvr6OFQtK6OsdWRm4oiJCPJrADFt0tPeNeSz5QHV1Ma2tvTM9jHFTqOOG0cc+XQ+X4ebCZCjUv0uhjhtm79gnMg+m3SDNmzePQ4cOZf7f2tpKTU3NpM55riPK//jJQRK2C8DGNTV8YvPSMXXNFAIiQRMLFYxXKBSKmWTa95A+8pGPsH//fjo6OojFYjz//PNcd911kzpnV2+ChO1SGrH401vXcMd1K8ZsjIojFmXFAVSWkkKhUMws0+4h1dbW8uCDD3Lvvfdi2za7du1i3bp1kzrnmqXl/M39m9EQuGPUSNGEoKTIIqgKXhUKhSIvmJE6pB07drBjx44pPWdteZjuviSx5OgN+nRNUFoUwDJUjZFCoVDkC3NCqSEbQxOUFQdVVbtCoVDkGXPKIJmGpmqMFAqFIk+ZMwYpYOqUKvUFhUKhyFvmhEEKBQxKIqaqbFcoFIo8ZtYbpEjIpChkKlOkUCgUec6sNUhCQFHYIhJQad0KhUJRCMxKgyQElBYFVI2RQqFQFBCzziCpGiOFQqEoTGaVQdI0KFc1RgqFQlGQzCqDVBy2ZnoICoVCoZggKq6lUCgUirxAGSSFQqFQ5AXKICkUCoUiL1AGSaFQKBR5gTJICoVCocgLCi7LTtMuTkr3xTrvdFCoYy/UcUN+jF3NhVwKddygxp5GSDnGFqsKhUKhUFxEVMhOoVAoFHmBMkgKhUKhyAuUQVIoFApFXqAMkkKhUCjyAmWQFAqFQpEXKIOkUCgUirxAGSSFQqFQ5AXKICkUCoUiL1AGSaFQKBR5wZw2SE8//TSf+MQnuOmmm/j5z38+08MZlR/84Ads376d7du388gjjwCwb98+duzYwU033cSjjz46wyMcme9973t87WtfA+DIkSPs3LmTm2++mW9+85s4jjPDoxuaP/zhD+zcuZNbb72V73znO0Bh/eZjpZDmQqHPA1BzYVjkHOXcuXPyhhtukJ2dnbK/v1/u2LFDvv/++zM9rGHZu3ev/JM/+ROZSCRkMpmU9957r3z66afl9ddfLxsbG6Vt2/K+++6TL7300kwPdUj27dsnN23aJL/61a9KKaXcvn27PHz4sJRSyq9//evy5z//+UwOb0gaGxvlRz/6Udnc3CyTyaS866675EsvvVQwv/lYKaS5UOjzQEo1F0ZiznpI+/btY/PmzZSVlREOh7n55pvZvXv3TA9rWKqrq/na176GZVmYpkldXR2nTp1i6dKlLF68GMMw2LFjR15+h66uLh599FEeeOABAM6ePUs8HueKK64AYOfOnXk57t/97nd84hOfYN68eZimyaOPPkooFCqI33w8FNJcKOR5AGoujMacNUgtLS1UV1dn/l9TU8P58+dncEQjc8kll2Ru2lOnTvHcc88hhCiI7/Dtb3+bBx98kJKSEmDwb19dXZ2X4z59+jSu6/LAAw9w++2384tf/KLg7puxUEjfqZDnAai5MBpz1iB5nocQF2TTpZQ5/89X3n//fe677z4eeughFi9enPff4bHHHmP+/Pls2bIl81qh/Pau67J//36++93v8stf/pL6+no++OCDghj7eCiUv0c2hTYPQM2FsVBw/ZCminnz5nHo0KHM/1tbW6mpqZnBEY3O66+/zpe//GW+8Y1vsH37dl577TVaW1sz7+fjd3j22WdpbW3l9ttvp7u7m2g0ihAiZ9xtbW15N26AqqoqtmzZQkVFBQAf+9jH2L17N7quZz6Tj7/5eCm0uVCI8wDUXBgTk9zrKljSG7nt7e0yGo3K2267Tb711lszPaxhaWpqkps2bZL79u3LvBaPx+V1110nT506JR3HkV/4whfks88+O4OjHJlf/epXORu5hw4dklJK+a1vfUv+y7/8y0wObUjefPNNefPNN8vu7m7pOI68//775c9+9rOC+s3HQiHNhdkwD6RUc2E45qyHVFtby4MPPsi9996Lbdvs2rWLdevWzfSwhuVHP/oRiUSChx9+OPPanXfeycMPP8xf/MVfkEgkuP7667nllltmcJRj52//9m/51re+RV9fH5dddhn33nvvTA9pEOvXr+eLX/win/3sZ7Ftm2uuuYa77rqLFStWFORvPhyFNBdm2zwANReyUR1jFQqFQpEXzNmkBoVCoVDkF8ogKRQKhSIvUAZJoVAoFHmBMkgKhUKhyAuUQVIoFApFXqAMkkKhUCjyAmWQCoj77ruPjo6OSX/mwIEDfPKTnxz1eqtXrx7yXC+88EJGfv6ee+5h9+7dnDlzhiuvvHLUcyoUU4GaC7OTOVsYW4js3bt3Sj4zWbZt28a2bdsu+nUUiuFQc2F2ojykAuHrX/86AJ///Od57bXXuOeee9ixYwe33XYbv/71rwd9prm5mRdffJE777yTnTt3snXrVr7//e+P+7rf//73ueOOO7j99tt58cUXAXjiiSe4//77p+ibKRTjQ82FWcyUCB0ppoVVq1bJ9vZ2uW3bNvnb3/5WSunrkF177bXyjTfeyPmM53ny7rvvlidPnsx8bu3atbK9vV2++uqrcvv27WO63g9/+EMppZTHjh2TH/7wh2V7e7v81a9+Jf/sz/5MSinl3XffLZ977jn5wQcfyCuuuOIifGuFYjBqLsxOVMiuwGhoaCCRSHDTTTcBvg7ZTTfdxJ49e3Li1kII/vmf/5mXXnqJ3/zmNzQ0NCClJBaLjet6d911FwCrVq2irq6Ow4cPT92XUSgmgZoLsw8VsiswhBCDeo5IKXEcJ+e1aDTKHXfcwTvvvMOll17KQw89hGEYyHFKF2rahVvE8zwMQ61hFPmBmguzD2WQCghd11m4cCGGYfD8888DcP78eX7729/ykY98JPMZx3E4ffo0fX19fOUrX+HGG2/kwIEDJJNJPM8b1zWffPIMkK6RAAAA4klEQVRJAN555x0aGxtZv3791H4phWICqLkwO1EmvoC45ZZb+NM//VP+8R//ke985zv8wz/8A67r8qUvfYnNmzdnPnPPPffw93//92zdupVbb70Vy7JYtWoVK1eu5PTp01iWNeZrfvDBB3zqU59CCMHf/d3fUVZWdrG+nkIxZtRcmJ2o9hMKhUKhyAuUhzSH+dd//VeefvrpId/7whe+wG233TbNI1IoZgY1F/ID5SEpFAqFIi9QSQ0KhUKhyAuUQVIoFApFXqAMkkKhUCjyAmWQFAqFQpEXKIOkUCgUirzg/wfAWXWejJXnagAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x432 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lmplot(x=\"total_bill\", y=\"tip\", col=\"day\", data=tips,\n",
    "           col_wrap=2, size=3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x1a25410ba8>"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lmplot(x=\"total_bill\", y=\"tip\", col=\"day\", data=tips,\n",
    "           aspect=.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plotting a regression in other contexts\n",
    "---------------------------------------\n",
    "\n",
    "A few other seaborn functions use `regplot` in the context of a larger, more complex plot. The first is the `jointplot` function that we introduced in the :ref:`distributions tutorial <distribution_tutorial>`. In addition to the plot styles previously discussed, `jointplot` can use `regplot` to show the linear regression fit on the joint axes by passing ``kind=\"reg\"``:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.JointGrid at 0x1a2562de80>"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.jointplot(x=\"total_bill\", y=\"tip\", data=tips, kind=\"reg\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Using the `pairplot` function with ``kind=\"reg\"`` combines `regplot` and `PairGrid` to show the linear relationship between variables in a dataset. Take care to note how this is different from `lmplot`. In the figure below, the two axes don't show the same relationship conditioned on two levels of a third variable; rather, `PairGrid` is used to show multiple relationships between different pairings of the variables in a dataset:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/luke.thompson/miniconda3/envs/python3/lib/python3.7/site-packages/seaborn/axisgrid.py:2065: UserWarning: The `size` parameter has been renamed to `height`; pleaes update your code.\n",
      "  warnings.warn(msg, UserWarning)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.PairGrid at 0x1a25733240>"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.pairplot(tips, x_vars=[\"total_bill\", \"size\"], y_vars=[\"tip\"],\n",
    "             size=5, aspect=.8, kind=\"reg\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Like `lmplot`, but unlike `jointplot`, conditioning on an additional categorical variable is built into `pairplot` using the ``hue`` parameter:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/luke.thompson/miniconda3/envs/python3/lib/python3.7/site-packages/seaborn/axisgrid.py:2065: UserWarning: The `size` parameter has been renamed to `height`; pleaes update your code.\n",
      "  warnings.warn(msg, UserWarning)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.PairGrid at 0x1a25c98b70>"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 634.459x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.pairplot(tips, x_vars=[\"total_bill\", \"size\"], y_vars=[\"tip\"],\n",
    "             hue=\"smoker\", size=5, aspect=.8, kind=\"reg\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
